57108541875761 has 2 divisors, whose sum is σ = 57108541875762. Its totient is φ = 57108541875760.

The previous prime is 57108541875739. The next prime is 57108541875793. The reversal of 57108541875761 is 16757814580175.

57108541875761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34038589747600 + 23069952128161 = 5834260^2 + 4803119^2 .

It is a cyclic number.

It is not a de Polignac number, because 57108541875761 - 2¹⁴ = 57108541859377 is a prime.

It is a super-2 number, since 2×57108541875761² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (57108546875761) 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, 28554270937880 + 28554270937881.

It is an arithmetic number, because the mean of its divisors is an integer number (28554270937881).

Almost surely, 2^{57108541875761} is an apocalyptic number.

It is an amenable number.

57108541875761 is a deficient number, since it is larger than the sum of its proper divisors (1).

57108541875761 is an equidigital number, since it uses as much as digits as its factorization.

57108541875761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 65856000, while the sum is 65.

The spelling of 57108541875761 in words is "fifty-seven trillion, one hundred eight billion, five hundred forty-one million, eight hundred seventy-five thousand, seven hundred sixty-one".