57561888972097 has 2 divisors, whose sum is σ = 57561888972098. Its totient is φ = 57561888972096.

The previous prime is 57561888972089. The next prime is 57561888972139. The reversal of 57561888972097 is 79027988816575.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43802900877376 + 13758988094721 = 6618376^2 + 3709311^2 .

It is a cyclic number.

It is not a de Polignac number, because 57561888972097 - 2³ = 57561888972089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57561888972097.

It is not a weakly prime, because it can be changed into another prime (57561888972037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28780944486048 + 28780944486049.

It is an arithmetic number, because the mean of its divisors is an integer number (28780944486049).

Almost surely, 2^{57561888972097} is an apocalyptic number.

It is an amenable number.

57561888972097 is a deficient number, since it is larger than the sum of its proper divisors (1).

57561888972097 is an equidigital number, since it uses as much as digits as its factorization.

57561888972097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4267468800, while the sum is 82.

The spelling of 57561888972097 in words is "fifty-seven trillion, five hundred sixty-one billion, eight hundred eighty-eight million, nine hundred seventy-two thousand, ninety-seven".