520013 has 12 divisors (see below), whose sum is σ = 599508. Its totient is φ = 449280.

The previous prime is 519997. The next prime is 520019. The reversal of 520013 is 310025.

It can be written as a sum of positive squares in 6 ways, for example, as 157609 + 362404 = 397^2 + 602^2 .

It is not a de Polignac number, because 520013 - 2⁴ = 519997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 519976 and 520003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2783 + ... + 2963.

It is an arithmetic number, because the mean of its divisors is an integer number (49959).

2⁵²⁰⁰¹³ is an apocalyptic number.

It is an amenable number.

520013 is a deficient number, since it is larger than the sum of its proper divisors (79495).

520013 is a wasteful number, since it uses less digits than its factorization.

520013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

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

The square root of 520013 is about 721.1192689147. The cubic root of 520013 is about 80.4151852872.

Adding to 520013 its reverse (310025), we get a palindrome (830038).

It can be divided in two parts, 5200 and 13, that multiplied together give a square (67600 = 260²).

The spelling of 520013 in words is "five hundred twenty thousand, thirteen".