252183579264 has 96 divisors (see below), whose sum is σ = 768371902740. Its totient is φ = 79116410880.

The previous prime is 252183579251. The next prime is 252183579269. The reversal of 252183579264 is 462975381252.

252183579264 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 8 + 3 + 579 + 2 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 250808652864 + 1374926400 = 500808^2 + 37080^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 252183579264.

It is not an unprimeable number, because it can be changed into a prime (252183579269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6418927 + ... + 6458094.

Almost surely, 2^252183579264 is an apocalyptic number.

252183579264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252183579264 is an abundant number, since it is smaller than the sum of its proper divisors (516188323476).

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

252183579264 is a wasteful number, since it uses less digits than its factorization.

252183579264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12877058 (or 12877043 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 252183579264 in words is "two hundred fifty-two billion, one hundred eighty-three million, five hundred seventy-nine thousand, two hundred sixty-four".