631631566125 has 144 divisors (see below), whose sum is σ = 1325312763840. Its totient is φ = 288572760000.

The previous prime is 631631566117. The next prime is 631631566147. The reversal of 631631566125 is 521665136136.

It is a happy number.

631631566125 is a `hidden beast` number, since 6 + 3 + 1 + 63 + 1 + 566 + 1 + 25 = 666.

It is not a de Polignac number, because 631631566125 - 2³ = 631631566117 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 157159366 + ... + 157163384.

It is an arithmetic number, because the mean of its divisors is an integer number (9203560860).

Almost surely, 2^631631566125 is an apocalyptic number.

It is an amenable number.

631631566125 is an abundant number, since it is smaller than the sum of its proper divisors (693681197715).

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

631631566125 is a wasteful number, since it uses less digits than its factorization.

631631566125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905 (or 6885 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The spelling of 631631566125 in words is "six hundred thirty-one billion, six hundred thirty-one million, five hundred sixty-six thousand, one hundred twenty-five".