57165265577401 has 2 divisors, whose sum is σ = 57165265577402. Its totient is φ = 57165265577400.

The previous prime is 57165265577359. The next prime is 57165265577411. The reversal of 57165265577401 is 10477556256175.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34437649089600 + 22727616487801 = 5868360^2 + 4767349^2 .

It is a cyclic number.

It is not a de Polignac number, because 57165265577401 - 2¹⁷ = 57165265446329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57165265577401.

It is not a weakly prime, because it can be changed into another prime (57165265577411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28582632788700 + 28582632788701.

It is an arithmetic number, because the mean of its divisors is an integer number (28582632788701).

Almost surely, 2^{57165265577401} is an apocalyptic number.

It is an amenable number.

57165265577401 is a deficient number, since it is larger than the sum of its proper divisors (1).

57165265577401 is an equidigital number, since it uses as much as digits as its factorization.

57165265577401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 61740000, while the sum is 61.

The spelling of 57165265577401 in words is "fifty-seven trillion, one hundred sixty-five billion, two hundred sixty-five million, five hundred seventy-seven thousand, four hundred one".