31006817952 has 96 divisors (see below), whose sum is σ = 89017113024. Its totient is φ = 9372211200.

The previous prime is 31006817921. The next prime is 31006818053. The reversal of 31006817952 is 25971860013.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×31006817952² (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 382252 + ... + 456212.

It is an arithmetic number, because the mean of its divisors is an integer number (927261594).

Almost surely, 2^31006817952 is an apocalyptic number.

31006817952 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 31006817952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44508556512).

31006817952 is an abundant number, since it is smaller than the sum of its proper divisors (58010295072).

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

31006817952 is a wasteful number, since it uses less digits than its factorization.

31006817952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74382 (or 74374 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 31006817952 in words is "thirty-one billion, six million, eight hundred seventeen thousand, nine hundred fifty-two".