2557881123697 has 2 divisors, whose sum is σ = 2557881123698. Its totient is φ = 2557881123696.

The previous prime is 2557881123691. The next prime is 2557881123739. The reversal of 2557881123697 is 7963211887552.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1694172972816 + 863708150881 = 1301604^2 + 929359^2 .

It is a cyclic number.

It is not a de Polignac number, because 2557881123697 - 2²⁷ = 2557746905969 is a prime.

It is not a weakly prime, because it can be changed into another prime (2557881123691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1278940561848 + 1278940561849.

It is an arithmetic number, because the mean of its divisors is an integer number (1278940561849).

Almost surely, 2^{2557881123697} is an apocalyptic number.

It is an amenable number.

2557881123697 is a deficient number, since it is larger than the sum of its proper divisors (1).

2557881123697 is an equidigital number, since it uses as much as digits as its factorization.

2557881123697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 50803200, while the sum is 64.

The spelling of 2557881123697 in words is "two trillion, five hundred fifty-seven billion, eight hundred eighty-one million, one hundred twenty-three thousand, six hundred ninety-seven".