57271056605657 has 2 divisors, whose sum is σ = 57271056605658. Its totient is φ = 57271056605656.

The previous prime is 57271056605591. The next prime is 57271056605701. The reversal of 57271056605657 is 75650665017275.

57271056605657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52496748575296 + 4774308030361 = 7245464^2 + 2185019^2 .

It is a cyclic number.

It is not a de Polignac number, because 57271056605657 - 2⁸ = 57271056605401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57271056605657.

It is not a weakly prime, because it can be changed into another prime (57271056605957) 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 as a sum of consecutive naturals, namely, 28635528302828 + 28635528302829.

It is an arithmetic number, because the mean of its divisors is an integer number (28635528302829).

Almost surely, 2^{57271056605657} is an apocalyptic number.

It is an amenable number.

57271056605657 is a deficient number, since it is larger than the sum of its proper divisors (1).

57271056605657 is an equidigital number, since it uses as much as digits as its factorization.

57271056605657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 92610000, while the sum is 62.

The spelling of 57271056605657 in words is "fifty-seven trillion, two hundred seventy-one billion, fifty-six million, six hundred five thousand, six hundred fifty-seven".