257697054721 has 2 divisors, whose sum is σ = 257697054722. Its totient is φ = 257697054720.

The previous prime is 257697054707. The next prime is 257697054751. The reversal of 257697054721 is 127450796752.

257697054721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 145847610000 + 111849444721 = 381900^2 + 334439^2 .

It is a cyclic number.

It is not a de Polignac number, because 257697054721 - 2²³ = 257688666113 is a prime.

It is not a weakly prime, because it can be changed into another prime (257697054751) 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, 128848527360 + 128848527361.

It is an arithmetic number, because the mean of its divisors is an integer number (128848527361).

Almost surely, 2^257697054721 is an apocalyptic number.

It is an amenable number.

257697054721 is a deficient number, since it is larger than the sum of its proper divisors (1).

257697054721 is an equidigital number, since it uses as much as digits as its factorization.

257697054721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7408800, while the sum is 55.

The spelling of 257697054721 in words is "two hundred fifty-seven billion, six hundred ninety-seven million, fifty-four thousand, seven hundred twenty-one".