57165265577713 has 2 divisors, whose sum is σ = 57165265577714. Its totient is φ = 57165265577712.

The previous prime is 57165265577657. The next prime is 57165265577737. The reversal of 57165265577713 is 31777556256175.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32194537004529 + 24970728573184 = 5674023^2 + 4997072^2 .

It is a cyclic number.

It is not a de Polignac number, because 57165265577713 - 2¹³ = 57165265569521 is a prime.

It is not a weakly prime, because it can be changed into another prime (57165265577113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28582632788856 + 28582632788857.

It is an arithmetic number, because the mean of its divisors is an integer number (28582632788857).

Almost surely, 2^{57165265577713} is an apocalyptic number.

It is an amenable number.

57165265577713 is a deficient number, since it is larger than the sum of its proper divisors (1).

57165265577713 is an equidigital number, since it uses as much as digits as its factorization.

57165265577713 is an evil number, because the sum of its binary digits is even.

The product of its digits is 324135000, while the sum is 67.

The spelling of 57165265577713 in words is "fifty-seven trillion, one hundred sixty-five billion, two hundred sixty-five million, five hundred seventy-seven thousand, seven hundred thirteen".