31516531072 has 64 divisors (see below), whose sum is σ = 67957092000. Its totient is φ = 14472843264.

The previous prime is 31516531063. The next prime is 31516531133. The reversal of 31516531072 is 27013561513.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283548 + ... + 378724.

Almost surely, 2^31516531072 is an apocalyptic number.

31516531072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31516531072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33978546000).

31516531072 is an abundant number, since it is smaller than the sum of its proper divisors (36440560928).

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

31516531072 is a wasteful number, since it uses less digits than its factorization.

31516531072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95403 (or 95391 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The spelling of 31516531072 in words is "thirty-one billion, five hundred sixteen million, five hundred thirty-one thousand, seventy-two".