257467252293697 has 2 divisors, whose sum is σ = 257467252293698. Its totient is φ = 257467252293696.

The previous prime is 257467252293677. The next prime is 257467252293703. The reversal of 257467252293697 is 796392252764752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 245902416988176 + 11564835305521 = 15681276^2 + 3400711^2 .

It is a cyclic number.

It is not a de Polignac number, because 257467252293697 - 2²⁷ = 257467118075969 is a prime.

It is not a weakly prime, because it can be changed into another prime (257467252293677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128733626146848 + 128733626146849.

It is an arithmetic number, because the mean of its divisors is an integer number (128733626146849).

Almost surely, 2^{257467252293697} is an apocalyptic number.

It is an amenable number.

257467252293697 is a deficient number, since it is larger than the sum of its proper divisors (1).

257467252293697 is an equidigital number, since it uses as much as digits as its factorization.

257467252293697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4800902400, while the sum is 76.

The spelling of 257467252293697 in words is "two hundred fifty-seven trillion, four hundred sixty-seven billion, two hundred fifty-two million, two hundred ninety-three thousand, six hundred ninety-seven".