| Next prime | 5653 |
| Previous prime | 5647 |
| Octal | (13023)8 |
| Hexadecimal | (1613)16 |
| Prime gap | 2 |
| 138th Twin prime (the small number) | The big number is 5653 . |
| 89th Prime triplet (the smallest number) | The others are 5653 and 5657 . |
| 11th Prime quadruplet (the smallest number) | The others are 5653 , 5657 and 5659 . |
| 271st Sexy prime (the small number) | The big number is 5657 . |
| 380th Prime of the Form 4n+3 |