257523006317 has 2 divisors, whose sum is σ = 257523006318. Its totient is φ = 257523006316.

The previous prime is 257523006311. The next prime is 257523006337. The reversal of 257523006317 is 713600325752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 257060154121 + 462852196 = 507011^2 + 21514^2 .

It is a cyclic number.

It is not a de Polignac number, because 257523006317 - 2²⁰ = 257521957741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257523006311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128761503158 + 128761503159.

It is an arithmetic number, because the mean of its divisors is an integer number (128761503159).

Almost surely, 2^257523006317 is an apocalyptic number.

It is an amenable number.

257523006317 is a deficient number, since it is larger than the sum of its proper divisors (1).

257523006317 is an equidigital number, since it uses as much as digits as its factorization.

257523006317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 264600, while the sum is 41.

The spelling of 257523006317 in words is "two hundred fifty-seven billion, five hundred twenty-three million, six thousand, three hundred seventeen".