353300313 has 16 divisors (see below), whose sum is σ = 479864576. Its totient is φ = 231161040.

The previous prime is 353300293. The next prime is 353300347. The reversal of 353300313 is 313003353.

It is not a de Polignac number, because 353300313 - 2⁵ = 353300281 is a prime.

It is a super-2 number, since 2×353300313² = 249642222331795938, which contains 22 as substring.

It is a Duffinian number.

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 353300313.

It is not an unprimeable number, because it can be changed into a prime (353300393) 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 15 ways as a sum of consecutive naturals, for example, 53778 + ... + 59988.

It is an arithmetic number, because the mean of its divisors is an integer number (29991536).

Almost surely, 2^353300313 is an apocalyptic number.

It is an amenable number.

353300313 is a deficient number, since it is larger than the sum of its proper divisors (126564263).

353300313 is a wasteful number, since it uses less digits than its factorization.

353300313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564.

The product of its (nonzero) digits is 1215, while the sum is 21.

The square root of 353300313 is about 18796.2845530706. The cubic root of 353300313 is about 706.9380225182.

Adding to 353300313 its reverse (313003353), we get a palindrome (666303666).

The spelling of 353300313 in words is "three hundred fifty-three million, three hundred thousand, three hundred thirteen".