500013 has 10 divisors (see below), whose sum is σ = 747054. Its totient is φ = 333288.

The previous prime is 500009. The next prime is 500029. The reversal of 500013 is 310005.

It can be written as a sum of positive squares in only one way, i.e., 272484 + 227529 = 522^2 + 477^2 .

It is not a de Polignac number, because 500013 - 2² = 500009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

500013 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 499968 and 500004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500083) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3006 + ... + 3167.

2⁵⁰⁰⁰¹³ is an apocalyptic number.

It is an amenable number.

500013 is a deficient number, since it is larger than the sum of its proper divisors (247041).

500013 is an equidigital number, since it uses as much as digits as its factorization.

500013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6185 (or 6176 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 500013 is about 707.1159735150. The cubic root of 500013 is about 79.3707404662.

Adding to 500013 its reverse (310005), we get a palindrome (810018).

The spelling of 500013 in words is "five hundred thousand, thirteen".