57957087101 has 2 divisors, whose sum is σ = 57957087102. Its totient is φ = 57957087100.

The previous prime is 57957087061. The next prime is 57957087103. The reversal of 57957087101 is 10178075975.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57948525625 + 8561476 = 240725^2 + 2926^2 .

It is a cyclic number.

It is not a de Polignac number, because 57957087101 - 2⁶ = 57957087037 is a prime.

Together with 57957087103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57957087101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57957087103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28978543550 + 28978543551.

It is an arithmetic number, because the mean of its divisors is an integer number (28978543551).

Almost surely, 2^57957087101 is an apocalyptic number.

It is an amenable number.

57957087101 is a deficient number, since it is larger than the sum of its proper divisors (1).

57957087101 is an equidigital number, since it uses as much as digits as its factorization.

57957087101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 617400, while the sum is 50.

The spelling of 57957087101 in words is "fifty-seven billion, nine hundred fifty-seven million, eighty-seven thousand, one hundred one".