25608000625 has 45 divisors (see below), whose sum is σ = 33079193301. Its totient is φ = 19817496000.

The previous prime is 25608000611. The next prime is 25608000683. The reversal of 25608000625 is 52600080652.

The square root of 25608000625 is 160025.

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

It can be written as a sum of positive squares in 22 ways, for example, as 16194344049 + 9413656576 = 127257^2 + 97024^2 .

It is not a de Polignac number, because 25608000625 - 2⁷ = 25608000497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 148023039 + ... + 148023211.

Almost surely, 2^25608000625 is an apocalyptic number.

25608000625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25608000625 is the 160025-th square number.

25608000625 is the 80013-rd centered octagonal number.

It is an amenable number.

25608000625 is a deficient number, since it is larger than the sum of its proper divisors (7471192676).

25608000625 is an frugal number, since it uses more digits than its factorization.

25608000625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 25608000625 in words is "twenty-five billion, six hundred eight million, six hundred twenty-five", and thus it is an aban number.