813513 has 8 divisors (see below), whose sum is σ = 1089088. Its totient is φ = 540144.

The previous prime is 813511. The next prime is 813529. The reversal of 813513 is 315318.

It is a happy number.

813513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 813513 - 2¹ = 813511 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 813513.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 813513.

It is not an unprimeable number, because it can be changed into a prime (813511) 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, 756 + ... + 1482.

It is an arithmetic number, because the mean of its divisors is an integer number (136136).

2⁸¹³⁵¹³ is an apocalyptic number.

It is an amenable number.

813513 is a deficient number, since it is larger than the sum of its proper divisors (275575).

813513 is a wasteful number, since it uses less digits than its factorization.

813513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103.

The product of its digits is 360, while the sum is 21.

The square root of 813513 is about 901.9495551304. The cubic root of 813513 is about 93.3515426489.

It can be divided in two parts, 813 and 513, that added together give a triangular number (1326 = T₅₁).

The spelling of 813513 in words is "eight hundred thirteen thousand, five hundred thirteen".