513878013 has 20 divisors (see below), whose sum is σ = 837432288. Its totient is φ = 311440680.

The previous prime is 513877961. The next prime is 513878039. The reversal of 513878013 is 310878315.

It is not a de Polignac number, because 513878013 - 2¹⁰ = 513876989 is a prime.

It is a super-2 number, since 2×513878013² = 528141224489656338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513878063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 287481 + ... + 289262.

Almost surely, 2^513878013 is an apocalyptic number.

It is an amenable number.

513878013 is a deficient number, since it is larger than the sum of its proper divisors (323554275).

513878013 is a wasteful number, since it uses less digits than its factorization.

513878013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576766 (or 576757 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 513878013 is about 22668.8776299137. The cubic root of 513878013 is about 800.9769382747.

The spelling of 513878013 in words is "five hundred thirteen million, eight hundred seventy-eight thousand, thirteen".