353120313 has 48 divisors (see below), whose sum is σ = 592945920. Its totient is φ = 185278464.

The previous prime is 353120309. The next prime is 353120329. The reversal of 353120313 is 313021353.

It is not a de Polignac number, because 353120313 - 2² = 353120309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 353120313.

It is not an unprimeable number, because it can be changed into a prime (353120113) 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 47 ways as a sum of consecutive naturals, for example, 490768 + ... + 491486.

It is an arithmetic number, because the mean of its divisors is an integer number (12353040).

Almost surely, 2^353120313 is an apocalyptic number.

It is an amenable number.

353120313 is a deficient number, since it is larger than the sum of its proper divisors (239825607).

353120313 is a wasteful number, since it uses less digits than its factorization.

353120313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 353120313 is about 18791.4957627114. The cubic root of 353120313 is about 706.8179448243.

Adding to 353120313 its reverse (313021353), we get a palindrome (666141666).

The spelling of 353120313 in words is "three hundred fifty-three million, one hundred twenty thousand, three hundred thirteen".