539633

This number is a prime.

The sum of 7 positive 11th powers. [Sloane]

The smallest prime number of the form a^m + b^m + c^m + ... , where (a * b * c * …) is the prime factorization of m. Here m = 12, therefore 2^12 + 2^12 + 3^12 = 539633. [Honaker]