252245610504 has 24 divisors (see below), whose sum is σ = 683165195310. Its totient is φ = 84081870144.

The previous prime is 252245610499. The next prime is 252245610541. The reversal of 252245610504 is 405016542252.

252245610504 is a `hidden beast` number, since 2 + 52 + 2 + 45 + 61 + 0 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 248811416100 + 3434194404 = 498810^2 + 58602^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1751705557 + ... + 1751705700.

Almost surely, 2^252245610504 is an apocalyptic number.

252245610504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252245610504 is an abundant number, since it is smaller than the sum of its proper divisors (430919584806).

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

252245610504 is a wasteful number, since it uses less digits than its factorization.

252245610504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503411269 (or 3503411262 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 252245610504 in words is "two hundred fifty-two billion, two hundred forty-five million, six hundred ten thousand, five hundred four".