25251 has 8 divisors (see below), whose sum is σ = 35520. Its totient is φ = 15912.

The previous prime is 25247. The next prime is 25253. The reversal of 25251 is 15252.

25251 is nontrivially palindromic in base 2.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 25251 - 2² = 25247 is a prime.

It is a super-2 number, since 2×25251² = 1275226002, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 25251.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25251.

It is not an unprimeable number, because it can be changed into a prime (25253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165 + ... + 278.

It is an arithmetic number, because the mean of its divisors is an integer number (4440).

2²⁵²⁵¹ is an apocalyptic number.

25251 is the 101-st centered pentagonal number.

25251 is a deficient number, since it is larger than the sum of its proper divisors (10269).

25251 is a wasteful number, since it uses less digits than its factorization.

25251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465.

The product of its digits is 100, while the sum is 15.

The square root of 25251 is about 158.9056323734. The cubic root of 25251 is about 29.3377088285.

Subtracting from 25251 its reverse (15252), we obtain a palindrome (9999).

It can be divided in two parts, 252 and 51, that added together give a palindrome (303).

The spelling of 25251 in words is "twenty-five thousand, two hundred fifty-one".