11551

This number is a prime.

The smallest five-digit prime with limerick rhyme scheme (aabba). First appeared in the book "Prime Curios!" by Caldwell & Honaker, November 4, 2009. [Baldwin]

The smallest prime that can be represented as sum of two successive integers, (5775, 5776), that are both abundant numbers. [Loungrides]

The smallest emirp with no unique digits. Each digit that it has appears at least twice. [Gaydos]