352565253 has 24 divisors (see below), whose sum is σ = 520138008. Its totient is φ = 230072832.

The previous prime is 352565243. The next prime is 352565281.

352565253 is a `hidden beast` number, since 352 + 56 + 5 + 253 = 666.

352565253 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 124947684 + 227617569 = 11178^2 + 15087^2 .

It is not a de Polignac number, because 352565253 - 2⁴ = 352565237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352565203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88051 + ... + 91967.

It is an arithmetic number, because the mean of its divisors is an integer number (21672417).

Almost surely, 2^352565253 is an apocalyptic number.

It is an amenable number.

352565253 is a deficient number, since it is larger than the sum of its proper divisors (167572755).

352565253 is a wasteful number, since it uses less digits than its factorization.

352565253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133 (or 4130 counting only the distinct ones).

The product of its digits is 135000, while the sum is 36.

The square root of 352565253 is about 18776.7210396278. The cubic root of 352565253 is about 706.4474081205.

The spelling of 352565253 in words is "three hundred fifty-two million, five hundred sixty-five thousand, two hundred fifty-three".