57516051968101 has 8 divisors (see below), whose sum is σ = 57526157012184. Its totient is φ = 57505947832320.

The previous prime is 57516051968029. The next prime is 57516051968159. The reversal of 57516051968101 is 10186915061575.

It can be written as a sum of positive squares in 4 ways, for example, as 1478476037476 + 56037575930625 = 1215926^2 + 7485825^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 57516051968101 - 2⁹ = 57516051967589 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 (57516051968161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133227145 + ... + 133658161.

It is an arithmetic number, because the mean of its divisors is an integer number (7190769626523).

Almost surely, 2^{57516051968101} is an apocalyptic number.

It is an amenable number.

57516051968101 is a deficient number, since it is larger than the sum of its proper divisors (10105044083).

57516051968101 is a wasteful number, since it uses less digits than its factorization.

57516051968101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454151.

The product of its (nonzero) digits is 2268000, while the sum is 55.

The spelling of 57516051968101 in words is "fifty-seven trillion, five hundred sixteen billion, fifty-one million, nine hundred sixty-eight thousand, one hundred one".