252273712552200 has 72 divisors (see below), whose sum is σ = 847219217993850. Its totient is φ = 67272990013440.

The previous prime is 252273712552181. The next prime is 252273712552219. The reversal of 252273712552200 is 2255217372252.

252273712552200 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 7 + 3 + 71 + 2 + 552 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (252273712552181) and next prime (252273712552219).

It can be written as a sum of positive squares in 3 ways, for example, as 133049719339524 + 119223993212676 = 11534718^2 + 10918974^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 70076029465 + ... + 70076033064.

Almost surely, 2^{252273712552200} is an apocalyptic number.

252273712552200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252273712552200 is an abundant number, since it is smaller than the sum of its proper divisors (594945505441650).

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

252273712552200 is a wasteful number, since it uses less digits than its factorization.

252273712552200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140152062551 (or 140152062539 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 252273712552200 in words is "two hundred fifty-two trillion, two hundred seventy-three billion, seven hundred twelve million, five hundred fifty-two thousand, two hundred".