257091641017 has 2 divisors, whose sum is σ = 257091641018. Its totient is φ = 257091641016.

The previous prime is 257091640979. The next prime is 257091641063. The reversal of 257091641017 is 710146190752.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 140388099856 + 116703541161 = 374684^2 + 341619^2 .

It is a cyclic number.

It is not a de Polignac number, because 257091641017 - 2⁷ = 257091640889 is a prime.

It is a super-2 number, since 2×257091641017² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257091641117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128545820508 + 128545820509.

It is an arithmetic number, because the mean of its divisors is an integer number (128545820509).

Almost surely, 2^257091641017 is an apocalyptic number.

It is an amenable number.

257091641017 is a deficient number, since it is larger than the sum of its proper divisors (1).

257091641017 is an equidigital number, since it uses as much as digits as its factorization.

257091641017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105840, while the sum is 43.

The spelling of 257091641017 in words is "two hundred fifty-seven billion, ninety-one million, six hundred forty-one thousand, seventeen".