257340617617 has 2 divisors, whose sum is σ = 257340617618. Its totient is φ = 257340617616.

The previous prime is 257340617587. The next prime is 257340617641. The reversal of 257340617617 is 716716043752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167510936961 + 89829680656 = 409281^2 + 299716^2 .

It is a cyclic number.

It is not a de Polignac number, because 257340617617 - 2²⁷ = 257206399889 is a prime.

It is not a weakly prime, because it can be changed into another prime (257340417617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128670308808 + 128670308809.

It is an arithmetic number, because the mean of its divisors is an integer number (128670308809).

Almost surely, 2^257340617617 is an apocalyptic number.

It is an amenable number.

257340617617 is a deficient number, since it is larger than the sum of its proper divisors (1).

257340617617 is an equidigital number, since it uses as much as digits as its factorization.

257340617617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1481760, while the sum is 49.

The spelling of 257340617617 in words is "two hundred fifty-seven billion, three hundred forty million, six hundred seventeen thousand, six hundred seventeen".