257386877045941 has 2 divisors, whose sum is σ = 257386877045942. Its totient is φ = 257386877045940.

The previous prime is 257386877045791. The next prime is 257386877045981. The reversal of 257386877045941 is 149540778683752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 166819697856900 + 90567179189041 = 12915870^2 + 9516679^2 .

It is a cyclic number.

It is not a de Polignac number, because 257386877045941 - 2⁹ = 257386877045429 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257386877045981) 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, 128693438522970 + 128693438522971.

It is an arithmetic number, because the mean of its divisors is an integer number (128693438522971).

It is a 1-persistent number, because it is pandigital, but 2⋅257386877045941 = 514773754091882 is not.

Almost surely, 2^{257386877045941} is an apocalyptic number.

It is an amenable number.

257386877045941 is a deficient number, since it is larger than the sum of its proper divisors (1).

257386877045941 is an equidigital number, since it uses as much as digits as its factorization.

257386877045941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2844979200, while the sum is 76.

The spelling of 257386877045941 in words is "two hundred fifty-seven trillion, three hundred eighty-six billion, eight hundred seventy-seven million, forty-five thousand, nine hundred forty-one".