257872862641 has 2 divisors, whose sum is σ = 257872862642. Its totient is φ = 257872862640.

The previous prime is 257872862627. The next prime is 257872862743. The reversal of 257872862641 is 146268278752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 256715502241 + 1157360400 = 506671^2 + 34020^2 .

It is a cyclic number.

It is not a de Polignac number, because 257872862641 - 2²⁷ = 257738644913 is a prime.

It is not a weakly prime, because it can be changed into another prime (257872862341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128936431320 + 128936431321.

It is an arithmetic number, because the mean of its divisors is an integer number (128936431321).

Almost surely, 2^257872862641 is an apocalyptic number.

It is an amenable number.

257872862641 is a deficient number, since it is larger than the sum of its proper divisors (1).

257872862641 is an equidigital number, since it uses as much as digits as its factorization.

257872862641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18063360, while the sum is 58.

The spelling of 257872862641 in words is "two hundred fifty-seven billion, eight hundred seventy-two million, eight hundred sixty-two thousand, six hundred forty-one".