57516112122097 has 2 divisors, whose sum is σ = 57516112122098. Its totient is φ = 57516112122096.

The previous prime is 57516112122083. The next prime is 57516112122101. The reversal of 57516112122097 is 79022121161575.

57516112122097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46722679489201 + 10793432632896 = 6835399^2 + 3285336^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-57516112122097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57516112122097.

It is not a weakly prime, because it can be changed into another prime (57516112122047) 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, 28758056061048 + 28758056061049.

It is an arithmetic number, because the mean of its divisors is an integer number (28758056061049).

Almost surely, 2^{57516112122097} is an apocalyptic number.

It is an amenable number.

57516112122097 is a deficient number, since it is larger than the sum of its proper divisors (1).

57516112122097 is an equidigital number, since it uses as much as digits as its factorization.

57516112122097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 529200, while the sum is 49.

The spelling of 57516112122097 in words is "fifty-seven trillion, five hundred sixteen billion, one hundred twelve million, one hundred twenty-two thousand, ninety-seven".