25914735625 has 20 divisors (see below), whose sum is σ = 32697533440. Its totient is φ = 20530458000.

The previous prime is 25914735601. The next prime is 25914735659. The reversal of 25914735625 is 52653741952.

It is not a de Polignac number, because 25914735625 - 2¹⁷ = 25914604553 is a prime.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 136905 + ... + 265654.

It is an arithmetic number, because the mean of its divisors is an integer number (1634876672).

Almost surely, 2^25914735625 is an apocalyptic number.

25914735625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25914735625 is a deficient number, since it is larger than the sum of its proper divisors (6782797815).

25914735625 is an equidigital number, since it uses as much as digits as its factorization.

25914735625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402682 (or 402667 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 49.

The spelling of 25914735625 in words is "twenty-five billion, nine hundred fourteen million, seven hundred thirty-five thousand, six hundred twenty-five".