3137087625 has 128 divisors (see below), whose sum is σ = 6485606400. Its totient is φ = 1314144000.

The previous prime is 3137087621. The next prime is 3137087627. The reversal of 3137087625 is 5267807313.

3137087625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3137087625 - 2² = 3137087621 is a prime.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3137087621) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1545111 + ... + 1547139.

It is an arithmetic number, because the mean of its divisors is an integer number (50668800).

Almost surely, 2^3137087625 is an apocalyptic number.

3137087625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3137087625 is an abundant number, since it is smaller than the sum of its proper divisors (3348518775).

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

3137087625 is a wasteful number, since it uses less digits than its factorization.

3137087625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 3137087625 is about 56009.7100956611. The cubic root of 3137087625 is about 1463.8914801127.

The spelling of 3137087625 in words is "three billion, one hundred thirty-seven million, eighty-seven thousand, six hundred twenty-five".