513258 has 16 divisors (see below), whose sum is σ = 1035936. Its totient is φ = 169520.

The previous prime is 513257. The next prime is 513269. The reversal of 513258 is 852315.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513258.

It is not an unprimeable number, because it can be changed into a prime (513257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460 + ... + 1112.

It is an arithmetic number, because the mean of its divisors is an integer number (64746).

2⁵¹³²⁵⁸ is an apocalyptic number.

513258 is an abundant number, since it is smaller than the sum of its proper divisors (522678).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513258 is a wasteful number, since it uses less digits than its factorization.

513258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789.

The product of its digits is 1200, while the sum is 24.

The square root of 513258 is about 716.4202677200. The cubic root of 513258 is about 80.0654672442.

The spelling of 513258 in words is "five hundred thirteen thousand, two hundred fifty-eight".