diff --git a/CHANGELOG.md b/CHANGELOG.md
index f128fdb..7391f91 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -13,6 +13,8 @@ and this project adheres to [Semantic Versioning](http://semver.org/spec/v2.0.0.
 * Hexadecimal is never an empty string; fixed in [#593](https://github.com/ramsey/uuid/pull/593).
 * Update call to `str_getcsv()` to avoid deprecation notice in PHP 8.4; fixed in [#590](https://github.com/ramsey/uuid/pull/590).
 * Update docblocks for `Uuid::fromBytes()`, `Uuid::fromString()`, `Uuid::fromDateTime()`, `Uuid::fromHexadecimal()`, and `Uuid::fromInteger()` to note that each can throw `InvalidArgumentException`, addressing PHPStan errors occurring at call sites; fixed in [#552](https://github.com/ramsey/uuid/pull/552).
+* `getVariant()` for `MaxUuid` now correctly returns `Uuid::RESERVED_FUTURE`, as specified in [RFC 9562, section 5.10](https://www.rfc-editor.org/rfc/rfc9562#section-5.10).
+* `getVariant()` for `NilUuid` now correctly returns `Uuid::RESERVED_NCS`, as specified in [RFC 9562, section 5.9](https://www.rfc-editor.org/rfc/rfc9562#section-5.9).
 
 ### Deprecated
 
diff --git a/src/Rfc4122/UuidBuilder.php b/src/Rfc4122/UuidBuilder.php
index 8e5eed5..e477528 100644
--- a/src/Rfc4122/UuidBuilder.php
+++ b/src/Rfc4122/UuidBuilder.php
@@ -42,13 +42,13 @@ class UuidBuilder implements UuidBuilderInterface
      * @param NumberConverterInterface $numberConverter The number converter to use when constructing the Uuid
      * @param TimeConverterInterface $timeConverter The time converter to use for converting Gregorian time extracted
      *     from version 1, 2, and 6 UUIDs to Unix timestamps
-     * @param TimeConverterInterface|null $unixTimeConverter The time converter to use for converter Unix Epoch time
+     * @param TimeConverterInterface | null $unixTimeConverter The time converter to use for converter Unix Epoch time
      *     extracted from version 7 UUIDs to Unix timestamps
      */
     public function __construct(
         private NumberConverterInterface $numberConverter,
         private TimeConverterInterface $timeConverter,
-        ?TimeConverterInterface $unixTimeConverter = null
+        ?TimeConverterInterface $unixTimeConverter = null,
     ) {
         $this->unixTimeConverter = $unixTimeConverter ?? new UnixTimeConverter(new BrickMathCalculator());
     }
diff --git a/src/Rfc4122/VariantTrait.php b/src/Rfc4122/VariantTrait.php
index 64e5279..3d39369 100644
--- a/src/Rfc4122/VariantTrait.php
+++ b/src/Rfc4122/VariantTrait.php
@@ -58,8 +58,18 @@ trait VariantTrait
             throw new InvalidBytesException('Invalid number of bytes');
         }
 
-        if ($this->isMax() || $this->isNil()) {
-            return Uuid::RFC_4122;
+        // According to RFC 9562, sections {@link https://www.rfc-editor.org/rfc/rfc9562#section-4.1 4.1} and
+        // {@link https://www.rfc-editor.org/rfc/rfc9562#section-5.10 5.10}, the Max UUID falls within the range
+        // of the future variant.
+        if ($this->isMax()) {
+            return Uuid::RESERVED_FUTURE;
+        }
+
+        // According to RFC 9562, sections {@link https://www.rfc-editor.org/rfc/rfc9562#section-4.1 4.1} and
+        // {@link https://www.rfc-editor.org/rfc/rfc9562#section-5.9 5.9}, the Nil UUID falls within the range
+        // of the Apollo NCS variant.
+        if ($this->isNil()) {
+            return Uuid::RESERVED_NCS;
         }
 
         /** @var int[] $parts */
diff --git a/tests/ExpectedBehaviorTest.php b/tests/ExpectedBehaviorTest.php
index 804239c..d38599d 100644
--- a/tests/ExpectedBehaviorTest.php
+++ b/tests/ExpectedBehaviorTest.php
@@ -380,7 +380,7 @@ class ExpectedBehaviorTest extends TestCase
     public function provideFromStringInteger()
     {
         return [
-            ['00000000-0000-0000-0000-000000000000', null, 2, '0'],
+            ['00000000-0000-0000-0000-000000000000', null, 0, '0'],
             ['ff6f8cb0-c57d-11e1-8b21-0800200c9a66', 1, 2, '339532337419071774304650190139318639206'],
             ['ff6f8cb0-c57d-11e1-9b21-0800200c9a66', 1, 2, '339532337419071774305803111643925486182'],
             ['ff6f8cb0-c57d-11e1-ab21-0800200c9a66', 1, 2, '339532337419071774306956033148532333158'],
@@ -413,7 +413,7 @@ class ExpectedBehaviorTest extends TestCase
             ['ff6f8cb0-c57d-01e1-db21-0800200c9a66', null, 6, '339532337419071698752551071748029454950'],
             ['ff6f8cb0-c57d-01e1-eb21-0800200c9a66', null, 7, '339532337419071698753703993252636301926'],
             ['ff6f8cb0-c57d-01e1-fb21-0800200c9a66', null, 7, '339532337419071698754856914757243148902'],
-            ['ffffffff-ffff-ffff-ffff-ffffffffffff', null, 2, '340282366920938463463374607431768211455'],
+            ['ffffffff-ffff-ffff-ffff-ffffffffffff', null, 7, '340282366920938463463374607431768211455'],
         ];
     }
 
diff --git a/tests/Guid/FieldsTest.php b/tests/Guid/FieldsTest.php
index b511974..97f5dd1 100644
--- a/tests/Guid/FieldsTest.php
+++ b/tests/Guid/FieldsTest.php
@@ -201,7 +201,7 @@ class FieldsTest extends TestCase
             ['00000000000000000000000000000000', 'getTimeLow', '00000000'],
             ['00000000000000000000000000000000', 'getTimeMid', '0000'],
             ['00000000000000000000000000000000', 'getTimestamp', '000000000000000'],
-            ['00000000000000000000000000000000', 'getVariant', 2],
+            ['00000000000000000000000000000000', 'getVariant', 0],
             ['00000000000000000000000000000000', 'getVersion', null],
             ['00000000000000000000000000000000', 'isNil', true],
             ['00000000000000000000000000000000', 'isMax', false],
@@ -215,7 +215,7 @@ class FieldsTest extends TestCase
             ['ffffffffffffffffffffffffffffffff', 'getTimeLow', 'ffffffff'],
             ['ffffffffffffffffffffffffffffffff', 'getTimeMid', 'ffff'],
             ['ffffffffffffffffffffffffffffffff', 'getTimestamp', 'fffffffffffffff'],
-            ['ffffffffffffffffffffffffffffffff', 'getVariant', 2],
+            ['ffffffffffffffffffffffffffffffff', 'getVariant', 7],
             ['ffffffffffffffffffffffffffffffff', 'getVersion', null],
             ['ffffffffffffffffffffffffffffffff', 'isNil', false],
             ['ffffffffffffffffffffffffffffffff', 'isMax', true],
diff --git a/tests/Rfc4122/FieldsTest.php b/tests/Rfc4122/FieldsTest.php
index ffb9f97..e1ef87f 100644
--- a/tests/Rfc4122/FieldsTest.php
+++ b/tests/Rfc4122/FieldsTest.php
@@ -201,7 +201,7 @@ class FieldsTest extends TestCase
             ['00000000-0000-0000-0000-000000000000', 'getTimeLow', '00000000'],
             ['00000000-0000-0000-0000-000000000000', 'getTimeMid', '0000'],
             ['00000000-0000-0000-0000-000000000000', 'getTimestamp', '000000000000000'],
-            ['00000000-0000-0000-0000-000000000000', 'getVariant', 2],
+            ['00000000-0000-0000-0000-000000000000', 'getVariant', 0],
             ['00000000-0000-0000-0000-000000000000', 'getVersion', null],
             ['00000000-0000-0000-0000-000000000000', 'isNil', true],
             ['00000000-0000-0000-0000-000000000000', 'isMax', false],
@@ -214,7 +214,7 @@ class FieldsTest extends TestCase
             ['ffffffff-ffff-ffff-ffff-ffffffffffff', 'getTimeLow', 'ffffffff'],
             ['ffffffff-ffff-ffff-ffff-ffffffffffff', 'getTimeMid', 'ffff'],
             ['ffffffff-ffff-ffff-ffff-ffffffffffff', 'getTimestamp', 'fffffffffffffff'],
-            ['ffffffff-ffff-ffff-ffff-ffffffffffff', 'getVariant', 2],
+            ['ffffffff-ffff-ffff-ffff-ffffffffffff', 'getVariant', 7],
             ['ffffffff-ffff-ffff-ffff-ffffffffffff', 'getVersion', null],
             ['ffffffff-ffff-ffff-ffff-ffffffffffff', 'isNil', false],
             ['ffffffff-ffff-ffff-ffff-ffffffffffff', 'isMax', true],
diff --git a/tests/UuidTest.php b/tests/UuidTest.php
index cf17384..153cffd 100644
--- a/tests/UuidTest.php
+++ b/tests/UuidTest.php
@@ -1436,13 +1436,7 @@ class UuidTest extends TestCase
                 'urn' => 'urn:uuid:00000000-0000-0000-0000-000000000000',
                 'time' => '0',
                 'clock_seq' => '0000',
-                // This is a departure from the Python tests. The Python tests
-                // are technically "correct" because all bits are set to zero,
-                // so it stands to reason that the variant is also zero, but
-                // that leads to this being considered a "Reserved NCS" variant,
-                // and that is not the case. RFC 4122 defines this special UUID,
-                // so it is an RFC 4122 variant.
-                'variant' => Uuid::RFC_4122,
+                'variant' => Uuid::RESERVED_NCS,
                 'version' => null,
             ],
             [
@@ -1701,20 +1695,13 @@ class UuidTest extends TestCase
                 ],
                 'urn' => 'urn:uuid:ffffffff-ffff-ffff-ffff-ffffffffffff',
                 'time' => 'fffffffffffffff',
-                // This is a departure from the Python tests. The Python tests
-                // are technically "correct" because all bits are set to one,
-                // which ends up calculating the variant as 7, or "Reserved
-                // Future," but that is not the case, and now that max UUIDs
-                // are defined as a special type, within the RFC 4122 variant
-                // rules, we also consider it an RFC 4122 variant.
-                //
-                // Similarly, Python's tests think the clock sequence should be
+                // Python's tests think the clock sequence should be
                 // 0x3fff because of the bit shifting performed on this field.
                 // However, since all the bits in this UUID are defined as being
                 // set to one, we will consider the clock sequence as 0xffff,
                 // which all bits set to one.
                 'clock_seq' => 'ffff',
-                'variant' => Uuid::RFC_4122,
+                'variant' => Uuid::RESERVED_FUTURE,
                 'version' => null,
             ],
         ];