257538278766257 has 2 divisors, whose sum is σ = 257538278766258. Its totient is φ = 257538278766256.

The previous prime is 257538278766191. The next prime is 257538278766289. The reversal of 257538278766257 is 752667872835752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168897861437041 + 88640417329216 = 12996071^2 + 9414904^2 .

It is a cyclic number.

It is not a de Polignac number, because 257538278766257 - 2¹⁶ = 257538278700721 is a prime.

It is not a weakly prime, because it can be changed into another prime (257538278766557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128769139383128 + 128769139383129.

It is an arithmetic number, because the mean of its divisors is an integer number (128769139383129).

Almost surely, 2^{257538278766257} is an apocalyptic number.

It is an amenable number.

257538278766257 is a deficient number, since it is larger than the sum of its proper divisors (1).

257538278766257 is an equidigital number, since it uses as much as digits as its factorization.

257538278766257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 16595712000, while the sum is 80.

The spelling of 257538278766257 in words is "two hundred fifty-seven trillion, five hundred thirty-eight billion, two hundred seventy-eight million, seven hundred sixty-six thousand, two hundred fifty-seven".