57141311314175 has 24 divisors (see below), whose sum is σ = 77297131059840. Its totient is φ = 41557037295200.

The previous prime is 57141311314163. The next prime is 57141311314201.

57141311314175 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57141311314175 - 2²⁸ = 57141042878719 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45788636 + ... + 47020014.

It is an arithmetic number, because the mean of its divisors is an integer number (3220713794160).

Almost surely, 2^{57141311314175} is an apocalyptic number.

57141311314175 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57141311314175 is a deficient number, since it is larger than the sum of its proper divisors (20155819745665).

57141311314175 is a wasteful number, since it uses less digits than its factorization.

57141311314175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400143 (or 1400138 counting only the distinct ones).

The product of its digits is 176400, while the sum is 44.

The spelling of 57141311314175 in words is "fifty-seven trillion, one hundred forty-one billion, three hundred eleven million, three hundred fourteen thousand, one hundred seventy-five".