513039 has 8 divisors (see below), whose sum is σ = 707760. Its totient is φ = 330176.

The previous prime is 513031. The next prime is 513041. The reversal of 513039 is 930315.

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 513039 - 2³ = 513031 is a prime.

513039 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513031) 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, 2862 + ... + 3035.

It is an arithmetic number, because the mean of its divisors is an integer number (88470).

2⁵¹³⁰³⁹ is an apocalyptic number.

513039 is a deficient number, since it is larger than the sum of its proper divisors (194721).

513039 is a wasteful number, since it uses less digits than its factorization.

513039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5929.

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 513039 is about 716.2674081654. The cubic root of 513039 is about 80.0540780197.

The spelling of 513039 in words is "five hundred thirteen thousand, thirty-nine".