6513189438756 has 384 divisors, whose sum is σ = 21132279705600. Its totient is φ = 1538287027200.

The previous prime is 6513189438739. The next prime is 6513189438761. The reversal of 6513189438756 is 6578349813156.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39352816 + ... + 39517976.

It is an arithmetic number, because the mean of its divisors is an integer number (55031978400).

Almost surely, 2^{6513189438756} is an apocalyptic number.

6513189438756 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6513189438756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10566139852800).

6513189438756 is an abundant number, since it is smaller than the sum of its proper divisors (14619090266844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6513189438756 is a wasteful number, since it uses less digits than its factorization.

6513189438756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165280 (or 165264 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 66.

The spelling of 6513189438756 in words is "six trillion, five hundred thirteen billion, one hundred eighty-nine million, four hundred thirty-eight thousand, seven hundred fifty-six".