257115697 has 2 divisors, whose sum is σ = 257115698. Its totient is φ = 257115696.

The previous prime is 257115659. The next prime is 257115713. The reversal of 257115697 is 796511752.

257115697 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204175521 + 52940176 = 14289^2 + 7276^2 .

It is a cyclic number.

It is not a de Polignac number, because 257115697 - 2¹⁵ = 257082929 is a prime.

It is a super-2 number, since 2×257115697² = 132216963287591618, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257155697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128557848 + 128557849.

It is an arithmetic number, because the mean of its divisors is an integer number (128557849).

Almost surely, 2^257115697 is an apocalyptic number.

It is an amenable number.

257115697 is a deficient number, since it is larger than the sum of its proper divisors (1).

257115697 is an equidigital number, since it uses as much as digits as its factorization.

257115697 is an evil number, because the sum of its binary digits is even.

The product of its digits is 132300, while the sum is 43.

The square root of 257115697 is about 16034.8276261393. The cubic root of 257115697 is about 635.8815103353.

The spelling of 257115697 in words is "two hundred fifty-seven million, one hundred fifteen thousand, six hundred ninety-seven".