513313133 has 8 divisors (see below), whose sum is σ = 518712768. Its totient is φ = 507924864.

The previous prime is 513313093. The next prime is 513313183. The reversal of 513313133 is 331313315.

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

It is a cyclic number.

It is not a de Polignac number, because 513313133 - 2²² = 509118829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513313099 and 513313108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513313183) 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, 111485 + ... + 115997.

It is an arithmetic number, because the mean of its divisors is an integer number (64839096).

Almost surely, 2^513313133 is an apocalyptic number.

It is an amenable number.

513313133 is a deficient number, since it is larger than the sum of its proper divisors (5399635).

513313133 is a wasteful number, since it uses less digits than its factorization.

513313133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5683.

The product of its digits is 1215, while the sum is 23.

The square root of 513313133 is about 22656.4148311245. The cubic root of 513313133 is about 800.6833395801.

Adding to 513313133 its reverse (331313315), we get a palindrome (844626448).

The spelling of 513313133 in words is "five hundred thirteen million, three hundred thirteen thousand, one hundred thirty-three".