513793 has 8 divisors (see below), whose sum is σ = 607680. Its totient is φ = 425040.

The previous prime is 513781. The next prime is 513829. The reversal of 513793 is 397315.

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

It is not a de Polignac number, because 513793 - 2⁵ = 513761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513593) 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, 1063 + ... + 1468.

It is an arithmetic number, because the mean of its divisors is an integer number (75960).

2⁵¹³⁷⁹³ is an apocalyptic number.

It is an amenable number.

513793 is a deficient number, since it is larger than the sum of its proper divisors (93887).

513793 is a wasteful number, since it uses less digits than its factorization.

513793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567.

The product of its digits is 2835, while the sum is 28.

The square root of 513793 is about 716.7935546585. The cubic root of 513793 is about 80.0932766178.

It can be divided in two parts, 51 and 3793, that added together give a square (3844 = 62²).

The spelling of 513793 in words is "five hundred thirteen thousand, seven hundred ninety-three".