513323 has 4 divisors (see below), whose sum is σ = 540360. Its totient is φ = 486288.

The previous prime is 513319. The next prime is 513341. The reversal of 513323 is 323315.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 323315 = 5 ⋅64663.

It is a cyclic number.

It is not a de Polignac number, because 513323 - 2² = 513319 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513323.

It is not an unprimeable number, because it can be changed into a prime (513313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13490 + ... + 13527.

It is an arithmetic number, because the mean of its divisors is an integer number (135090).

2⁵¹³³²³ is an apocalyptic number.

513323 is a deficient number, since it is larger than the sum of its proper divisors (27037).

513323 is a wasteful number, since it uses less digits than its factorization.

513323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27036.

The product of its digits is 270, while the sum is 17.

The square root of 513323 is about 716.4656307179. The cubic root of 513323 is about 80.0688469842.

Adding to 513323 its reverse (323315), we get a palindrome (836638).

The spelling of 513323 in words is "five hundred thirteen thousand, three hundred twenty-three".