57505101271 has 32 divisors (see below), whose sum is σ = 60197437440. Its totient is φ = 54898181856.

The previous prime is 57505101259. The next prime is 57505101293. The reversal of 57505101271 is 17210150575.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-57505101271 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57505104271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114324006 + ... + 114324508.

It is an arithmetic number, because the mean of its divisors is an integer number (1881169920).

Almost surely, 2^57505101271 is an apocalyptic number.

57505101271 is a deficient number, since it is larger than the sum of its proper divisors (2692336169).

57505101271 is a wasteful number, since it uses less digits than its factorization.

57505101271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963.

The product of its (nonzero) digits is 12250, while the sum is 34.

The spelling of 57505101271 in words is "fifty-seven billion, five hundred five million, one hundred one thousand, two hundred seventy-one".