31253406625 has 48 divisors (see below), whose sum is σ = 45412475472. Its totient is φ = 21411936000.

The previous prime is 31253406593. The next prime is 31253406631. The reversal of 31253406625 is 52660435213.

It can be written as a sum of positive squares in 8 ways, for example, as 4660929441 + 26592477184 = 68271^2 + 163072^2 .

It is not a de Polignac number, because 31253406625 - 2⁵ = 31253406593 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13700485 + ... + 13702765.

It is an arithmetic number, because the mean of its divisors is an integer number (946093239).

Almost surely, 2^31253406625 is an apocalyptic number.

31253406625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31253406625 is a deficient number, since it is larger than the sum of its proper divisors (14159068847).

31253406625 is a wasteful number, since it uses less digits than its factorization.

31253406625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4547 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 31253406625 in words is "thirty-one billion, two hundred fifty-three million, four hundred six thousand, six hundred twenty-five".