520513 has 16 divisors (see below), whose sum is σ = 642816. Its totient is φ = 411840.

The previous prime is 520451. The next prime is 520529. The reversal of 520513 is 315025.

It is a cyclic number.

It is not a de Polignac number, because 520513 - 2¹³ = 512321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (520213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8503 + ... + 8563.

It is an arithmetic number, because the mean of its divisors is an integer number (40176).

2⁵²⁰⁵¹³ is an apocalyptic number.

520513 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

520513 is a deficient number, since it is larger than the sum of its proper divisors (122303).

520513 is a wasteful number, since it uses less digits than its factorization.

520513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144.

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 520513 is about 721.4658689086. The cubic root of 520513 is about 80.4409504846.

Adding to 520513 its reverse (315025), we get a palindrome (835538).

The spelling of 520513 in words is "five hundred twenty thousand, five hundred thirteen".