509013 has 12 divisors (see below), whose sum is σ = 767520. Its totient is φ = 324456.

The previous prime is 508987. The next prime is 509023. The reversal of 509013 is 310905.

It is not a de Polignac number, because 509013 - 2¹⁴ = 492629 is a prime.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509023) 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, 1023 + ... + 1436.

It is an arithmetic number, because the mean of its divisors is an integer number (63960).

2⁵⁰⁹⁰¹³ is an apocalyptic number.

It is an amenable number.

509013 is a deficient number, since it is larger than the sum of its proper divisors (258507).

509013 is a wasteful number, since it uses less digits than its factorization.

509013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 509013 is about 713.4514699684. The cubic root of 509013 is about 79.8441235623.

Adding to 509013 its reverse (310905), we get a palindrome (819918).

The spelling of 509013 in words is "five hundred nine thousand, thirteen".