5187128013 has 24 divisors (see below), whose sum is σ = 7704188856. Its totient is φ = 3360614400.

The previous prime is 5187127961. The next prime is 5187128029. The reversal of 5187128013 is 3108217815.

5187128013 is a `hidden beast` number, since 518 + 7 + 128 + 0 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 530703369 + 4656424644 = 23037^2 + 68238^2 .

It is a de Polignac number, because none of the positive numbers 2^k-5187128013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5187128033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284533 + ... + 302213.

It is an arithmetic number, because the mean of its divisors is an integer number (321007869).

Almost surely, 2^5187128013 is an apocalyptic number.

It is an amenable number.

5187128013 is a deficient number, since it is larger than the sum of its proper divisors (2517060843).

5187128013 is a wasteful number, since it uses less digits than its factorization.

5187128013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18605 (or 18602 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 5187128013 is about 72021.7190366906. The cubic root of 5187128013 is about 1731.0475143322.

The spelling of 5187128013 in words is "five billion, one hundred eighty-seven million, one hundred twenty-eight thousand, thirteen".