257115468385 has 8 divisors (see below), whose sum is σ = 316063893096. Its totient is φ = 200675487360.

The previous prime is 257115468373. The next prime is 257115468391. The reversal of 257115468385 is 583864511752.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8667136 + 257106801249 = 2944^2 + 507057^2 .

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

It is not a de Polignac number, because 257115468385 - 2¹⁷ = 257115337313 is a prime.

It is a super-2 number, since 2×257115468385² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 627110694 + ... + 627111103.

It is an arithmetic number, because the mean of its divisors is an integer number (39507986637).

Almost surely, 2^257115468385 is an apocalyptic number.

It is an amenable number.

257115468385 is a deficient number, since it is larger than the sum of its proper divisors (58948424711).

257115468385 is a wasteful number, since it uses less digits than its factorization.

257115468385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254221843.

The product of its digits is 8064000, while the sum is 55.

The spelling of 257115468385 in words is "two hundred fifty-seven billion, one hundred fifteen million, four hundred sixty-eight thousand, three hundred eighty-five".