57165265577657 has 2 divisors, whose sum is σ = 57165265577658. Its totient is φ = 57165265577656.

The previous prime is 57165265577639. The next prime is 57165265577713. The reversal of 57165265577657 is 75677556256175.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52967770186816 + 4197495390841 = 7277896^2 + 2048779^2 .

It is a cyclic number.

It is not a de Polignac number, because 57165265577657 - 2⁸ = 57165265577401 is a prime.

It is not a weakly prime, because it can be changed into another prime (57165265577617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28582632788828 + 28582632788829.

It is an arithmetic number, because the mean of its divisors is an integer number (28582632788829).

Almost surely, 2^{57165265577657} is an apocalyptic number.

It is an amenable number.

57165265577657 is a deficient number, since it is larger than the sum of its proper divisors (1).

57165265577657 is an equidigital number, since it uses as much as digits as its factorization.

57165265577657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3241350000, while the sum is 74.

The spelling of 57165265577657 in words is "fifty-seven trillion, one hundred sixty-five billion, two hundred sixty-five million, five hundred seventy-seven thousand, six hundred fifty-seven".