31357105552512 has 384 divisors, whose sum is σ = 103813885094400. Its totient is φ = 9019118223360.

The previous prime is 31357105552511. The next prime is 31357105552579. The reversal of 31357105552512 is 21525550175313.

It is a happy number.

31357105552512 is a `hidden beast` number, since 3 + 1 + 3 + 5 + 7 + 105 + 5 + 525 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (31357105552511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10175758 + ... + 12894194.

It is an arithmetic number, because the mean of its divisors is an integer number (270348659100).

Almost surely, 2^{31357105552512} is an apocalyptic number.

31357105552512 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 31357105552512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51906942547200).

31357105552512 is an abundant number, since it is smaller than the sum of its proper divisors (72456779541888).

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

31357105552512 is a wasteful number, since it uses less digits than its factorization.

31357105552512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718524 (or 2718509 counting only the distinct ones).

The product of its (nonzero) digits is 787500, while the sum is 45.

The spelling of 31357105552512 in words is "thirty-one trillion, three hundred fifty-seven billion, one hundred five million, five hundred fifty-two thousand, five hundred twelve".