257306911397 has 2 divisors, whose sum is σ = 257306911398. Its totient is φ = 257306911396.

The previous prime is 257306911349. The next prime is 257306911409. The reversal of 257306911397 is 793119603752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133176824356 + 124130087041 = 364934^2 + 352321^2 .

It is a cyclic number.

It is not a de Polignac number, because 257306911397 - 2²⁴ = 257290134181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257306911097) 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, 128653455698 + 128653455699.

It is an arithmetic number, because the mean of its divisors is an integer number (128653455699).

Almost surely, 2^257306911397 is an apocalyptic number.

It is an amenable number.

257306911397 is a deficient number, since it is larger than the sum of its proper divisors (1).

257306911397 is an equidigital number, since it uses as much as digits as its factorization.

257306911397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2143260, while the sum is 53.

The spelling of 257306911397 in words is "two hundred fifty-seven billion, three hundred six million, nine hundred eleven thousand, three hundred ninety-seven".