513393 has 4 divisors (see below), whose sum is σ = 684528. Its totient is φ = 342260.

The previous prime is 513371. The next prime is 513397. The reversal of 513393 is 393315.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 513393 - 2⁸ = 513137 is a prime.

It is a D-number.

513393 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (513397) 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, 85563 + ... + 85568.

It is an arithmetic number, because the mean of its divisors is an integer number (171132).

2⁵¹³³⁹³ is an apocalyptic number.

It is an amenable number.

513393 is a deficient number, since it is larger than the sum of its proper divisors (171135).

513393 is a wasteful number, since it uses less digits than its factorization.

513393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171134.

The product of its digits is 1215, while the sum is 24.

The square root of 513393 is about 716.5144799653. The cubic root of 513393 is about 80.0724863850.

The spelling of 513393 in words is "five hundred thirteen thousand, three hundred ninety-three".