257342956417 has 2 divisors, whose sum is σ = 257342956418. Its totient is φ = 257342956416.

The previous prime is 257342956411. The next prime is 257342956433. The reversal of 257342956417 is 714659243752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175159827441 + 82183128976 = 418521^2 + 286676^2 .

It is a cyclic number.

It is not a de Polignac number, because 257342956417 - 2⁷ = 257342956289 is a prime.

It is a super-2 number, since 2×257342956417² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257342956411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128671478208 + 128671478209.

It is an arithmetic number, because the mean of its divisors is an integer number (128671478209).

Almost surely, 2^257342956417 is an apocalyptic number.

It is an amenable number.

257342956417 is a deficient number, since it is larger than the sum of its proper divisors (1).

257342956417 is an equidigital number, since it uses as much as digits as its factorization.

257342956417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12700800, while the sum is 55.

The spelling of 257342956417 in words is "two hundred fifty-seven billion, three hundred forty-two million, nine hundred fifty-six thousand, four hundred seventeen".