513329 has 8 divisors (see below), whose sum is σ = 549120. Its totient is φ = 478800.

The previous prime is 513319. The next prime is 513341. The reversal of 513329 is 923315.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513329 - 2⁴ = 513313 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513329.

It is not an unprimeable number, because it can be changed into a prime (513319) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 614 + ... + 1184.

It is an arithmetic number, because the mean of its divisors is an integer number (68640).

2⁵¹³³²⁹ is an apocalyptic number.

It is an amenable number.

513329 is a deficient number, since it is larger than the sum of its proper divisors (35791).

513329 is a wasteful number, since it uses less digits than its factorization.

513329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631.

The product of its digits is 810, while the sum is 23.

The square root of 513329 is about 716.4698179268. The cubic root of 513329 is about 80.0691589458.

The spelling of 513329 in words is "five hundred thirteen thousand, three hundred twenty-nine".