518013 has 6 divisors (see below), whose sum is σ = 748254. Its totient is φ = 345336.

The previous prime is 517999. The next prime is 518017. The reversal of 518013 is 310815.

Added to its reverse (310815) it gives a triangular number (828828 = T₁₂₈₇).

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 356409 + 161604 = 597^2 + 402^2 .

It is not a de Polignac number, because 518013 - 2⁵ = 517981 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 518013.

It is not an unprimeable number, because it can be changed into a prime (518017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28770 + ... + 28787.

It is an arithmetic number, because the mean of its divisors is an integer number (124709).

2⁵¹⁸⁰¹³ is an apocalyptic number.

It is an amenable number.

518013 is a deficient number, since it is larger than the sum of its proper divisors (230241).

518013 is a wasteful number, since it uses less digits than its factorization.

518013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57563 (or 57560 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 518013 is about 719.7311998239. The cubic root of 518013 is about 80.3119590217.

Adding to 518013 its reverse (310815), we get a palindrome (828828).

It can be divided in two parts, 51801 and 3, that multiplied together give a triangular number (155403 = T₅₅₇).

The spelling of 518013 in words is "five hundred eighteen thousand, thirteen".