31285315152 has 640 divisors, whose sum is σ = 118142438400. Its totient is φ = 7737679872.

The previous prime is 31285315129. The next prime is 31285315177. The reversal of 31285315152 is 25151358213.

31285315152 is a `hidden beast` number, since 3 + 1 + 28 + 531 + 51 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112943238 + ... + 112943514.

It is an arithmetic number, because the mean of its divisors is an integer number (184597560).

Almost surely, 2^31285315152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31285315152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59071219200).

31285315152 is an abundant number, since it is smaller than the sum of its proper divisors (86857123248).

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

31285315152 is a wasteful number, since it uses less digits than its factorization.

31285315152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 319 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The spelling of 31285315152 in words is "thirty-one billion, two hundred eighty-five million, three hundred fifteen thousand, one hundred fifty-two".