513330 has 32 divisors (see below), whose sum is σ = 1254528. Its totient is φ = 134400.

The previous prime is 513319. The next prime is 513341. The reversal of 513330 is 33315.

It is an interprime number because it is at equal distance from previous prime (513319) and next prime (513341).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 513330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2010 + ... + 2250.

It is an arithmetic number, because the mean of its divisors is an integer number (39204).

2⁵¹³³³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627264).

513330 is an abundant number, since it is smaller than the sum of its proper divisors (741198).

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

513330 is a wasteful number, since it uses less digits than its factorization.

513330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322.

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 513330 is about 716.4705157925. The cubic root of 513330 is about 80.0692109391.

Subtracting from 513330 its sum of digits (15), we obtain a palindrome (513315).

Adding to 513330 its reverse (33315), we get a palindrome (546645).

The spelling of 513330 in words is "five hundred thirteen thousand, three hundred thirty".