257936566273 has 2 divisors, whose sum is σ = 257936566274. Its totient is φ = 257936566272.

The previous prime is 257936566253. The next prime is 257936566297. The reversal of 257936566273 is 372665639752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201364895169 + 56571671104 = 448737^2 + 237848^2 .

It is a cyclic number.

It is not a de Polignac number, because 257936566273 - 2⁵ = 257936566241 is a prime.

It is a super-2 number, since 2×257936566273² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257936566243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128968283136 + 128968283137.

It is an arithmetic number, because the mean of its divisors is an integer number (128968283137).

Almost surely, 2^257936566273 is an apocalyptic number.

It is an amenable number.

257936566273 is a deficient number, since it is larger than the sum of its proper divisors (1).

257936566273 is an equidigital number, since it uses as much as digits as its factorization.

257936566273 is an evil number, because the sum of its binary digits is even.

The product of its digits is 85730400, while the sum is 61.

The spelling of 257936566273 in words is "two hundred fifty-seven billion, nine hundred thirty-six million, five hundred sixty-six thousand, two hundred seventy-three".