513020 has 24 divisors (see below), whose sum is σ = 1091664. Its totient is φ = 202496.

The previous prime is 513017. The next prime is 513031. The reversal of 513020 is 20315.

It is a junction number, because it is equal to n+sod(n) for n = 512992 and 513010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2147 + ... + 2373.

It is an arithmetic number, because the mean of its divisors is an integer number (45486).

2⁵¹³⁰²⁰ is an apocalyptic number.

It is an amenable number.

513020 is an abundant number, since it is smaller than the sum of its proper divisors (578644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513020 is a wasteful number, since it uses less digits than its factorization.

513020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 513020 is about 716.2541448397. The cubic root of 513020 is about 80.0530897607.

Adding to 513020 its reverse (20315), we get a palindrome (533335).

The spelling of 513020 in words is "five hundred thirteen thousand, twenty".