6586538013 has 48 divisors (see below), whose sum is σ = 10652353920. Its totient is φ = 3887913600.

The previous prime is 6586538009. The next prime is 6586538051. The reversal of 6586538013 is 3108356856.

6586538013 is a `hidden beast` number, since 6 + 586 + 53 + 8 + 0 + 13 = 666.

It is not a de Polignac number, because 6586538013 - 2² = 6586538009 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 6586538013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6586538003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 616723 + ... + 627311.

It is an arithmetic number, because the mean of its divisors is an integer number (221924040).

Almost surely, 2^6586538013 is an apocalyptic number.

It is an amenable number.

6586538013 is a deficient number, since it is larger than the sum of its proper divisors (4065815907).

6586538013 is a wasteful number, since it uses less digits than its factorization.

6586538013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10770 (or 10767 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 6586538013 is about 81157.4889520370. The cubic root of 6586538013 is about 1874.5012493172.

It can be divided in two parts, 658653 and 8013, that added together give a palindrome (666666).

The spelling of 6586538013 in words is "six billion, five hundred eighty-six million, five hundred thirty-eight thousand, thirteen".