25353 has 10 divisors (see below), whose sum is σ = 37994. Its totient is φ = 16848.

The previous prime is 25349. The next prime is 25357. The reversal of 25353 is 35352.

It is an interprime number because it is at equal distance from previous prime (25349) and next prime (25357).

It can be written as a sum of positive squares in only one way, i.e., 13689 + 11664 = 117^2 + 108^2 .

It is not a de Polignac number, because 25353 - 2² = 25349 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25357) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 76 + ... + 237.

2²⁵³⁵³ is an apocalyptic number.

It is an amenable number.

25353 is a deficient number, since it is larger than the sum of its proper divisors (12641).

25353 is an equidigital number, since it uses as much as digits as its factorization.

25353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 316 counting only the distinct ones).

The product of its digits is 450, while the sum is 18.

The square root of 25353 is about 159.2262541166. The cubic root of 25353 is about 29.3771584350.

Subtracting 25353 from its reverse (35352), we obtain a palindrome (9999).

It can be divided in two parts, 25 and 353, that added together give a triangular number (378 = T₂₇).

The spelling of 25353 in words is "twenty-five thousand, three hundred fifty-three".