25652 has 18 divisors (see below), whose sum is σ = 50274. Its totient is φ = 11440.

The previous prime is 25643. The next prime is 25657.

It is a happy number.

25652 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 23716 + 1936 = 154^2 + 44^2 .

It is an alternating number because its digits alternate between even and odd.

It is a pancake number, because a pancake can be divided into 25652 parts by 226 straight cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25657) by changing a digit.

25652 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 458 + ... + 510.

It is an arithmetic number, because the mean of its divisors is an integer number (2793).

2²⁵⁶⁵² is an apocalyptic number.

25652 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25652 is a deficient number, since it is larger than the sum of its proper divisors (24622).

25652 is a wasteful number, since it uses less digits than its factorization.

25652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 66 counting only the distinct ones).

The product of its digits is 600, while the sum is 20.

The square root of 25652 is about 160.1624175642. The cubic root of 25652 is about 29.4921936637.

Subtracting from 25652 its product of digits (600), we obtain a palindrome (25052).

The spelling of 25652 in words is "twenty-five thousand, six hundred fifty-two".