330513 has 12 divisors (see below), whose sum is σ = 459888. Its totient is φ = 211120.

The previous prime is 330509. The next prime is 330557. The reversal of 330513 is 315033.

It is not a de Polignac number, because 330513 - 2² = 330509 is a prime.

It is a Curzon number.

330513 is a lucky number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 330492 and 330501.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 330513.

It is not an unprimeable number, because it can be changed into a prime (330563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2458 + ... + 2588.

It is an arithmetic number, because the mean of its divisors is an integer number (38324).

2³³⁰⁵¹³ is an apocalyptic number.

It is an amenable number.

330513 is a deficient number, since it is larger than the sum of its proper divisors (129375).

330513 is a wasteful number, since it uses less digits than its factorization.

330513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 163 counting only the distinct ones).

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

The square root of 330513 is about 574.9026004464. The cubic root of 330513 is about 69.1400223175.

Adding to 330513 its reverse (315033), we get a palindrome (645546).

The spelling of 330513 in words is "three hundred thirty thousand, five hundred thirteen".