257117971967 has 8 divisors (see below), whose sum is σ = 260424867840. Its totient is φ = 253812382200.

The previous prime is 257117971963. The next prime is 257117971969. The reversal of 257117971967 is 769179711752.

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 257117971967 - 2² = 257117971963 is a prime.

It is a super-2 number, since 2×257117971967² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257117971961) 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, 72842 + ... + 720792.

It is an arithmetic number, because the mean of its divisors is an integer number (32553108480).

Almost surely, 2^257117971967 is an apocalyptic number.

257117971967 is a deficient number, since it is larger than the sum of its proper divisors (3306895873).

257117971967 is an equidigital number, since it uses as much as digits as its factorization.

257117971967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653053.

The product of its digits is 11668860, while the sum is 62.

The spelling of 257117971967 in words is "two hundred fifty-seven billion, one hundred seventeen million, nine hundred seventy-one thousand, nine hundred sixty-seven".