31081461255625 has 225 divisors, whose sum is σ = 45559634636835. Its totient is φ = 21194205120000.

The previous prime is 31081461255613. The next prime is 31081461255641. The reversal of 31081461255625 is 52655216418013.

The square root of 31081461255625 is 5575075.

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 25187520326089 + 5893940929536 = 5018717^2 + 2427744^2 .

It is not a de Polignac number, because 31081461255625 - 2⁷ = 31081461255497 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 320427435577 + ... + 320427435673.

Almost surely, 2^{31081461255625} is an apocalyptic number.

31081461255625 is the 5575075-th square number.

31081461255625 is the 2787538-th centered octagonal number.

It is an amenable number.

31081461255625 is a deficient number, since it is larger than the sum of its proper divisors (14478173381210).

31081461255625 is an frugal number, since it uses more digits than its factorization.

31081461255625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 49.

The spelling of 31081461255625 in words is "thirty-one trillion, eighty-one billion, four hundred sixty-one million, two hundred fifty-five thousand, six hundred twenty-five".