257126517263 has 8 divisors (see below), whose sum is σ = 320573320320. Its totient is φ = 200358325080.

The previous prime is 257126517251. The next prime is 257126517269. The reversal of 257126517263 is 362715621752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257126517263 - 2⁸ = 257126517007 is a prime.

It is a super-2 number, since 2×257126517263² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257126517269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1669652633 + ... + 1669652786.

It is an arithmetic number, because the mean of its divisors is an integer number (40071665040).

Almost surely, 2^257126517263 is an apocalyptic number.

257126517263 is a deficient number, since it is larger than the sum of its proper divisors (63446803057).

257126517263 is a wasteful number, since it uses less digits than its factorization.

257126517263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339305437.

The product of its digits is 1058400, while the sum is 47.

The spelling of 257126517263 in words is "two hundred fifty-seven billion, one hundred twenty-six million, five hundred seventeen thousand, two hundred sixty-three".