312971492925 has 576 divisors, whose sum is σ = 746889696000. Its totient is φ = 128050191360.

The previous prime is 312971492917. The next prime is 312971492947. The reversal of 312971492925 is 529294179213.

It is a happy number.

312971492925 is a `hidden beast` number, since 3 + 129 + 7 + 1 + 492 + 9 + 25 = 666.

It is not a de Polignac number, because 312971492925 - 2³ = 312971492917 is a prime.

Its product of digits (2449440) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4287280689 + ... + 4287280761.

It is an arithmetic number, because the mean of its divisors is an integer number (1296683500).

Almost surely, 2^312971492925 is an apocalyptic number.

312971492925 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

312971492925 is an abundant number, since it is smaller than the sum of its proper divisors (433918203075).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312971492925 is a wasteful number, since it uses less digits than its factorization.

312971492925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 160 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 312971492925 in words is "three hundred twelve billion, nine hundred seventy-one million, four hundred ninety-two thousand, nine hundred twenty-five".