257833053 has 6 divisors (see below), whose sum is σ = 372425534. Its totient is φ = 171888696.

The previous prime is 257833039. The next prime is 257833063. The reversal of 257833053 is 350338752.

257833053 is a `hidden beast` number, since 2 + 578 + 3 + 30 + 53 = 666.

It can be written as a sum of positive squares in only one way, i.e., 171007929 + 86825124 = 13077^2 + 9318^2 .

It is not a de Polignac number, because 257833053 - 2⁶ = 257832989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257832999 and 257833017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257833063) 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 5 ways as a sum of consecutive naturals, for example, 14324050 + ... + 14324067.

Almost surely, 2^257833053 is an apocalyptic number.

It is an amenable number.

257833053 is a deficient number, since it is larger than the sum of its proper divisors (114592481).

257833053 is a wasteful number, since it uses less digits than its factorization.

257833053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28648123 (or 28648120 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 257833053 is about 16057.1807301282. The cubic root of 257833053 is about 636.4723336544.

The spelling of 257833053 in words is "two hundred fifty-seven million, eight hundred thirty-three thousand, fifty-three".