25953525 has 72 divisors (see below), whose sum is σ = 52809120. Its totient is φ = 12078720.

The previous prime is 25953511. The next prime is 25953559. The reversal of 25953525 is 52535952.

It is not a de Polignac number, because 25953525 - 2⁵ = 25953493 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 25953525.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55342 + ... + 55808.

It is an arithmetic number, because the mean of its divisors is an integer number (733460).

Almost surely, 2^25953525 is an apocalyptic number.

25953525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25953525 is an abundant number, since it is smaller than the sum of its proper divisors (26855595).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25953525 is a wasteful number, since it uses less digits than its factorization.

25953525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 507 counting only the distinct ones).

The product of its digits is 67500, while the sum is 36.

The square root of 25953525 is about 5094.4602265598. The cubic root of 25953525 is about 296.0729861717.

It can be divided in two parts, 259535 and 25, that added together give a triangular number (259560 = T₇₂₀).

The spelling of 25953525 in words is "twenty-five million, nine hundred fifty-three thousand, five hundred twenty-five".