2538128813 has 24 divisors (see below), whose sum is σ = 3011888160. Its totient is φ = 2115266400.

The previous prime is 2538128797. The next prime is 2538128833. The reversal of 2538128813 is 3188218352.

2538128813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2538128813 - 2⁴ = 2538128797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538128833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194531 + ... + 207167.

It is an arithmetic number, because the mean of its divisors is an integer number (125495340).

Almost surely, 2^2538128813 is an apocalyptic number.

It is an amenable number.

2538128813 is a deficient number, since it is larger than the sum of its proper divisors (473759347).

2538128813 is a wasteful number, since it uses less digits than its factorization.

2538128813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12729 (or 12698 counting only the distinct ones).

The product of its digits is 92160, while the sum is 41.

The square root of 2538128813 is about 50379.8453054394. The cubic root of 2538128813 is about 1364.0738596368.

The spelling of 2538128813 in words is "two billion, five hundred thirty-eight million, one hundred twenty-eight thousand, eight hundred thirteen".