31661303625 has 256 divisors, whose sum is σ = 73149972480. Its totient is φ = 13177728000.

The previous prime is 31661303617. The next prime is 31661303627. The reversal of 31661303625 is 52630316613.

31661303625 is a `hidden beast` number, since 3 + 1 + 6 + 613 + 0 + 36 + 2 + 5 = 666.

It is not a de Polignac number, because 31661303625 - 2³ = 31661303617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31661303625.

It is not an unprimeable number, because it can be changed into a prime (31661303627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12449104 + ... + 12451646.

It is an arithmetic number, because the mean of its divisors is an integer number (285742080).

Almost surely, 2^31661303625 is an apocalyptic number.

31661303625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31661303625 is an abundant number, since it is smaller than the sum of its proper divisors (41488668855).

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

31661303625 is a wasteful number, since it uses less digits than its factorization.

31661303625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 31661303625 in words is "thirty-one billion, six hundred sixty-one million, three hundred three thousand, six hundred twenty-five".