257686047313 has 2 divisors, whose sum is σ = 257686047314. Its totient is φ = 257686047312.

The previous prime is 257686047191. The next prime is 257686047337. The reversal of 257686047313 is 313740686752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 252543436369 + 5142610944 = 502537^2 + 71712^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257686047313 is a prime.

It is not a weakly prime, because it can be changed into another prime (257686044313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128843023656 + 128843023657.

It is an arithmetic number, because the mean of its divisors is an integer number (128843023657).

Almost surely, 2^257686047313 is an apocalyptic number.

It is an amenable number.

257686047313 is a deficient number, since it is larger than the sum of its proper divisors (1).

257686047313 is an equidigital number, since it uses as much as digits as its factorization.

257686047313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 257686047313 in words is "two hundred fifty-seven billion, six hundred eighty-six million, forty-seven thousand, three hundred thirteen".