57975577364041 has 2 divisors, whose sum is σ = 57975577364042. Its totient is φ = 57975577364040.

The previous prime is 57975577363943. The next prime is 57975577364119. The reversal of 57975577364041 is 14046377557975.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51854703442441 + 6120873921600 = 7201021^2 + 2474040^2 .

It is a cyclic number.

It is not a de Polignac number, because 57975577364041 - 2¹⁹ = 57975576839753 is a prime.

It is a super-2 number, since 2×57975577364041² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (57975577364741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28987788682020 + 28987788682021.

It is an arithmetic number, because the mean of its divisors is an integer number (28987788682021).

Almost surely, 2^{57975577364041} is an apocalyptic number.

It is an amenable number.

57975577364041 is a deficient number, since it is larger than the sum of its proper divisors (1).

57975577364041 is an equidigital number, since it uses as much as digits as its factorization.

57975577364041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 777924000, while the sum is 70.

The spelling of 57975577364041 in words is "fifty-seven trillion, nine hundred seventy-five billion, five hundred seventy-seven million, three hundred sixty-four thousand, forty-one".