257117971969 has 2 divisors, whose sum is σ = 257117971970. Its totient is φ = 257117971968.

The previous prime is 257117971963. The next prime is 257117971991. The reversal of 257117971969 is 969179711752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 182226534400 + 74891437569 = 426880^2 + 273663^2 .

It is a cyclic number.

It is not a de Polignac number, because 257117971969 - 2³ = 257117971961 is a prime.

It is a super-2 number, since 2×257117971969² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257117971969.

It is not a weakly prime, because it can be changed into another prime (257117971961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128558985984 + 128558985985.

It is an arithmetic number, because the mean of its divisors is an integer number (128558985985).

Almost surely, 2^257117971969 is an apocalyptic number.

It is an amenable number.

257117971969 is a deficient number, since it is larger than the sum of its proper divisors (1).

257117971969 is an equidigital number, since it uses as much as digits as its factorization.

257117971969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15002820, while the sum is 64.

The spelling of 257117971969 in words is "two hundred fifty-seven billion, one hundred seventeen million, nine hundred seventy-one thousand, nine hundred sixty-nine".