252400756004145 has 24 divisors (see below), whose sum is σ = 499993878561216. Its totient is φ = 115383202744608.

The previous prime is 252400756004143. The next prime is 252400756004167. The reversal of 252400756004145 is 541400657004252.

252400756004145 is a `hidden beast` number, since 2 + 5 + 2 + 4 + 0 + 0 + 7 + 560 + 0 + 41 + 45 = 666.

It is not a de Polignac number, because 252400756004145 - 2¹ = 252400756004143 is a prime.

It is a super-2 number, since 2×252400756004145² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 252400756004145.

It is not an unprimeable number, because it can be changed into a prime (252400756004143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400636120327 + ... + 400636120956.

It is an arithmetic number, because the mean of its divisors is an integer number (20833078273384).

Almost surely, 2^{252400756004145} is an apocalyptic number.

It is an amenable number.

252400756004145 is a deficient number, since it is larger than the sum of its proper divisors (247593122557071).

252400756004145 is a wasteful number, since it uses less digits than its factorization.

252400756004145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801272241301 (or 801272241298 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 252400756004145 in words is "two hundred fifty-two trillion, four hundred billion, seven hundred fifty-six million, four thousand, one hundred forty-five".