513313333 has 12 divisors (see below), whose sum is σ = 580007520. Its totient is φ = 453223056.

The previous prime is 513313319. The next prime is 513313343. The reversal of 513313333 is 333313315.

It is not a de Polignac number, because 513313333 - 2⁵ = 513313301 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513313298 and 513313307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513313313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62143 + ... + 69916.

It is an arithmetic number, because the mean of its divisors is an integer number (48333960).

Almost surely, 2^513313333 is an apocalyptic number.

It is an amenable number.

513313333 is a deficient number, since it is larger than the sum of its proper divisors (66694187).

513313333 is a wasteful number, since it uses less digits than its factorization.

513313333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132108 (or 132095 counting only the distinct ones).

The product of its digits is 3645, while the sum is 25.

The square root of 513313333 is about 22656.4192448851. The cubic root of 513313333 is about 800.6834435690.

Adding to 513313333 its reverse (333313315), we get a palindrome (846626648).

The spelling of 513313333 in words is "five hundred thirteen million, three hundred thirteen thousand, three hundred thirty-three".