312531565625 has 24 divisors (see below), whose sum is σ = 395029013400. Its totient is φ = 247215760000.

The previous prime is 312531565609. The next prime is 312531565639. The reversal of 312531565625 is 526565135213.

It can be written as a sum of positive squares in 12 ways, for example, as 309657747961 + 2873817664 = 556469^2 + 53608^2 .

It is not a de Polignac number, because 312531565625 - 2⁴ = 312531565609 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 23 ways as a sum of consecutive naturals, for example, 283730 + ... + 839979.

It is an arithmetic number, because the mean of its divisors is an integer number (16459542225).

Almost surely, 2^312531565625 is an apocalyptic number.

It is an amenable number.

312531565625 is a deficient number, since it is larger than the sum of its proper divisors (82497447775).

312531565625 is an frugal number, since it uses more digits than its factorization.

312531565625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123823 (or 1123803 counting only the distinct ones).

The product of its digits is 810000, while the sum is 44.

The spelling of 312531565625 in words is "three hundred twelve billion, five hundred thirty-one million, five hundred sixty-five thousand, six hundred twenty-five".