257469627051 has 80 divisors (see below), whose sum is σ = 477969716224. Its totient is φ = 134489232576.

The previous prime is 257469627049. The next prime is 257469627091. The reversal of 257469627051 is 150726964752.

It is a happy number.

257469627051 is a `hidden beast` number, since 2 + 5 + 7 + 4 + 6 + 9 + 627 + 0 + 5 + 1 = 666.

It is not a de Polignac number, because 257469627051 - 2¹ = 257469627049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257469627001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 589650 + ... + 928776.

Almost surely, 2^257469627051 is an apocalyptic number.

257469627051 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

257469627051 is a deficient number, since it is larger than the sum of its proper divisors (220500089173).

257469627051 is a wasteful number, since it uses less digits than its factorization.

257469627051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339262 (or 339253 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 257469627051 in words is "two hundred fifty-seven billion, four hundred sixty-nine million, six hundred twenty-seven thousand, fifty-one".