25311 has 16 divisors (see below), whose sum is σ = 40320. Its totient is φ = 13920.

The previous prime is 25309. The next prime is 25321. The reversal of 25311 is 11352.

It is not a de Polignac number, because 25311 - 2¹ = 25309 is a prime.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25311.

It is not an unprimeable number, because it can be changed into a prime (25301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400 + ... + 458.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2²⁵³¹¹ is an apocalyptic number.

25311 is a deficient number, since it is larger than the sum of its proper divisors (15009).

25311 is a wasteful number, since it uses less digits than its factorization.

25311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86.

The product of its digits is 30, while the sum is 12.

The square root of 25311 is about 159.0943116519. The cubic root of 25311 is about 29.3609273169.

Subtracting from 25311 its product of digits (30), we obtain a square (25281 = 159²).

Adding to 25311 its reverse (11352), we get a palindrome (36663).

The spelling of 25311 in words is "twenty-five thousand, three hundred eleven".