31253105016 has 128 divisors (see below), whose sum is σ = 104438208000. Its totient is φ = 8459479296.

The previous prime is 31253105011. The next prime is 31253105017. The reversal of 31253105016 is 61050135213.

31253105016 is a `hidden beast` number, since 3 + 125 + 31 + 0 + 501 + 6 = 666.

It is a super-2 number, since 2×31253105016² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31253105011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 515221 + ... + 572676.

It is an arithmetic number, because the mean of its divisors is an integer number (815923500).

Almost surely, 2^31253105016 is an apocalyptic number.

31253105016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31253105016 is an abundant number, since it is smaller than the sum of its proper divisors (73185102984).

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

31253105016 is a wasteful number, since it uses less digits than its factorization.

31253105016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087938 (or 1087928 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 31253105016 in words is "thirty-one billion, two hundred fifty-three million, one hundred five thousand, sixteen".