252735277704003 has 64 divisors (see below), whose sum is σ = 378392478280320. Its totient is φ = 166713863786496.

The previous prime is 252735277703939. The next prime is 252735277704061. The reversal of 252735277704003 is 300407772537252.

252735277704003 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 3 + 527 + 7 + 70 + 40 + 0 + 3 = 666.

It is not a de Polignac number, because 252735277704003 - 2⁶ = 252735277703939 is a prime.

It is a super-2 number, since 2×252735277704003² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252735277724003) 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 63 ways as a sum of consecutive naturals, for example, 1322731051 + ... + 1322922107.

It is an arithmetic number, because the mean of its divisors is an integer number (5912382473130).

Almost surely, 2^{252735277704003} is an apocalyptic number.

252735277704003 is a deficient number, since it is larger than the sum of its proper divisors (125657200576317).

252735277704003 is a wasteful number, since it uses less digits than its factorization.

252735277704003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192533 (or 192527 counting only the distinct ones).

The product of its (nonzero) digits is 17287200, while the sum is 54.

The spelling of 252735277704003 in words is "two hundred fifty-two trillion, seven hundred thirty-five billion, two hundred seventy-seven million, seven hundred four thousand, three".