2513084013 has 12 divisors (see below), whose sum is σ = 3960011328. Its totient is φ = 1523081160.

The previous prime is 2513084003. The next prime is 2513084017. The reversal of 2513084013 is 3104803152.

It is a happy number.

2513084013 is a `hidden beast` number, since 251 + 3 + 0 + 8 + 401 + 3 = 666.

It is not a de Polignac number, because 2513084013 - 2⁴ = 2513083997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513084017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12692245 + ... + 12692442.

It is an arithmetic number, because the mean of its divisors is an integer number (330000944).

Almost surely, 2^2513084013 is an apocalyptic number.

It is an amenable number.

2513084013 is a deficient number, since it is larger than the sum of its proper divisors (1446927315).

2513084013 is a wasteful number, since it uses less digits than its factorization.

2513084013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25384704 (or 25384701 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2513084013 is about 50130.6693851179. The cubic root of 2513084013 is about 1359.5723880915.

Adding to 2513084013 its reverse (3104803152), we get a palindrome (5617887165).

The spelling of 2513084013 in words is "two billion, five hundred thirteen million, eighty-four thousand, thirteen".