513038 has 16 divisors (see below), whose sum is σ = 846720. Its totient is φ = 232056.

The previous prime is 513031. The next prime is 513041. The reversal of 513038 is 830315.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 581 + ... + 1167.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2⁵¹³⁰³⁸ is an apocalyptic number.

513038 is a deficient number, since it is larger than the sum of its proper divisors (333682).

513038 is a wasteful number, since it uses less digits than its factorization.

513038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 513038 is about 716.2667101018. The cubic root of 513038 is about 80.0540260067.

The spelling of 513038 in words is "five hundred thirteen thousand, thirty-eight".