257352353 has 8 divisors (see below), whose sum is σ = 266087400. Its totient is φ = 248711040.

The previous prime is 257352331. The next prime is 257352371. The reversal of 257352353 is 353253752.

It can be written as a sum of positive squares in 4 ways, for example, as 125171344 + 132181009 = 11188^2 + 11497^2 .

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

It is not a de Polignac number, because 257352353 - 2¹² = 257348257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257352383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17828 + ... + 28853.

It is an arithmetic number, because the mean of its divisors is an integer number (33260925).

Almost surely, 2^257352353 is an apocalyptic number.

It is an amenable number.

257352353 is a deficient number, since it is larger than the sum of its proper divisors (8735047).

257352353 is a wasteful number, since it uses less digits than its factorization.

257352353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46867.

The product of its digits is 94500, while the sum is 35.

The square root of 257352353 is about 16042.2053658467. The cubic root of 257352353 is about 636.0765444903.

The spelling of 257352353 in words is "two hundred fifty-seven million, three hundred fifty-two thousand, three hundred fifty-three".