successor

noun4

1. •
   A person or thing that immediately follows another in holding an office or title.

   • George W. Bush was successor to Bill Clinton as President of the US.
   • They haven't yet named her successor.
2. •
   A person who inherits a title or office.
3. •
   The next heir in order or succession.
4. •
   The integer, ordinal number or cardinal number immediately following another.

   • A limit ordinal is not the successor of any ordinal.