257183338853 has 8 divisors (see below), whose sum is σ = 293944231680. Its totient is φ = 220427550000.

The previous prime is 257183338823. The next prime is 257183338859. The reversal of 257183338853 is 358833381752.

257183338853 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 257183338853 - 2²⁸ = 256914903397 is a prime.

It is a super-2 number, since 2×257183338853² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257183338859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1167398 + ... + 1370103.

It is an arithmetic number, because the mean of its divisors is an integer number (36743028960).

Almost surely, 2^257183338853 is an apocalyptic number.

It is an amenable number.

257183338853 is a deficient number, since it is larger than the sum of its proper divisors (36760892827).

257183338853 is a wasteful number, since it uses less digits than its factorization.

257183338853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551987.

The product of its digits is 14515200, while the sum is 56.

The spelling of 257183338853 in words is "two hundred fifty-seven billion, one hundred eighty-three million, three hundred thirty-eight thousand, eight hundred fifty-three".