513313321 has 8 divisors (see below), whose sum is σ = 537135624. Its totient is φ = 490014720.

The previous prime is 513313319. The next prime is 513313343. The reversal of 513313321 is 123313315.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 98783721 + 414529600 = 9939^2 + 20360^2 .

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 513313321 - 2¹ = 513313319 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513313292 and 513313301.

It is not an unprimeable number, because it can be changed into a prime (513313301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128920 + ... + 132841.

It is an arithmetic number, because the mean of its divisors is an integer number (67141953).

Almost surely, 2^513313321 is an apocalyptic number.

It is an amenable number.

513313321 is a deficient number, since it is larger than the sum of its proper divisors (23822303).

513313321 is a wasteful number, since it uses less digits than its factorization.

513313321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261851.

The product of its digits is 810, while the sum is 22.

The square root of 513313321 is about 22656.4189800595. The cubic root of 513313321 is about 800.6834373297.

Adding to 513313321 its reverse (123313315), we get a palindrome (636626636).

The spelling of 513313321 in words is "five hundred thirteen million, three hundred thirteen thousand, three hundred twenty-one".