257817340053 has 192 divisors, whose sum is σ = 490462801920. Its totient is φ = 126717696000.

The previous prime is 257817340051. The next prime is 257817340061. The reversal of 257817340053 is 350043718752.

257817340053 is a `hidden beast` number, since 2 + 5 + 78 + 173 + 400 + 5 + 3 = 666.

It is not a de Polignac number, because 257817340053 - 2¹ = 257817340051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257817339990 and 257817340008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257817340051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 265516858 + ... + 265517828.

It is an arithmetic number, because the mean of its divisors is an integer number (2554493760).

Almost surely, 2^257817340053 is an apocalyptic number.

It is an amenable number.

257817340053 is a deficient number, since it is larger than the sum of its proper divisors (232645461867).

257817340053 is a wasteful number, since it uses less digits than its factorization.

257817340053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 257817340053 in words is "two hundred fifty-seven billion, eight hundred seventeen million, three hundred forty thousand, fifty-three".