253112896584 has 48 divisors (see below), whose sum is σ = 688062527100. Its totient is φ = 84057312384.

The previous prime is 253112896579. The next prime is 253112896637. The reversal of 253112896584 is 485698211352.

253112896584 is a `hidden beast` number, since 2 + 5 + 31 + 1 + 28 + 9 + 6 + 584 = 666.

253112896584 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 249422334084 + 3690562500 = 499422^2 + 60750^2 .

It is a super-2 number, since 2×253112896584² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 253112896584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6514939 + ... + 6553674.

Almost surely, 2^253112896584 is an apocalyptic number.

253112896584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253112896584 is an abundant number, since it is smaller than the sum of its proper divisors (434949630516).

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

253112896584 is a wasteful number, since it uses less digits than its factorization.

253112896584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13068894 (or 13068887 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 253112896584 in words is "two hundred fifty-three billion, one hundred twelve million, eight hundred ninety-six thousand, five hundred eighty-four".