25659036975625 has 45 divisors (see below), whose sum is σ = 32688469965459. Its totient is φ = 20134655268000.

The previous prime is 25659036975619. The next prime is 25659036975653. The reversal of 25659036975625 is 52657963095652.

The square root of 25659036975625 is 5065475.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 14237800436601 + 11421236539024 = 3773301^2 + 3379532^2 .

It is not a de Polignac number, because 25659036975625 - 2²¹ = 25659034878473 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6711752464 + ... + 6711756286.

Almost surely, 2^{25659036975625} is an apocalyptic number.

25659036975625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25659036975625 is the 5065475-th square number.

25659036975625 is the 2532738-th centered octagonal number.

It is an amenable number.

25659036975625 is a deficient number, since it is larger than the sum of its proper divisors (7029432989834).

25659036975625 is an frugal number, since it uses more digits than its factorization.

25659036975625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7772 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 918540000, while the sum is 70.

The spelling of 25659036975625 in words is "twenty-five trillion, six hundred fifty-nine billion, thirty-six million, nine hundred seventy-five thousand, six hundred twenty-five".