257092689593 has 2 divisors, whose sum is σ = 257092689594. Its totient is φ = 257092689592.

The previous prime is 257092689571. The next prime is 257092689631. The reversal of 257092689593 is 395986290752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 231407178304 + 25685511289 = 481048^2 + 160267^2 .

It is a cyclic number.

It is not a de Polignac number, because 257092689593 - 2²⁰ = 257091641017 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (257092689563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128546344796 + 128546344797.

It is an arithmetic number, because the mean of its divisors is an integer number (128546344797).

Almost surely, 2^257092689593 is an apocalyptic number.

It is an amenable number.

257092689593 is a deficient number, since it is larger than the sum of its proper divisors (1).

257092689593 is an equidigital number, since it uses as much as digits as its factorization.

257092689593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 73483200, while the sum is 65.

The spelling of 257092689593 in words is "two hundred fifty-seven billion, ninety-two million, six hundred eighty-nine thousand, five hundred ninety-three".