513053013 has 16 divisors (see below), whose sum is σ = 790157376. Its totient is φ = 292650240.

The previous prime is 513052999. The next prime is 513053017. The reversal of 513053013 is 310350315.

It is a happy number.

It is not a de Polignac number, because 513053013 - 2¹⁰ = 513051989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513053017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456706 + ... + 457827.

It is an arithmetic number, because the mean of its divisors is an integer number (49384836).

Almost surely, 2^513053013 is an apocalyptic number.

It is an amenable number.

513053013 is a deficient number, since it is larger than the sum of its proper divisors (277104363).

513053013 is a wasteful number, since it uses less digits than its factorization.

513053013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914564.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 513053013 is about 22650.6735661437. The cubic root of 513053013 is about 800.5480687109.

The spelling of 513053013 in words is "five hundred thirteen million, fifty-three thousand, thirteen".