6511499511696 has 135 divisors (see below), whose sum is σ = 18306401643153. Its totient is φ = 2160629614080.

The previous prime is 6511499511691. The next prime is 6511499511739. The reversal of 6511499511696 is 6961159941156.

The square root of 6511499511696 is 2551764.

It is a perfect power (a square), and thus also a powerful number.

6511499511696 is a `hidden beast` number, since 6 + 5 + 1 + 1 + 499 + 51 + 1 + 6 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1755890010000 + 4755609501696 = 1325100^2 + 2180736^2 .

It is not an unprimeable number, because it can be changed into a prime (6511499511691) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10319333301 + ... + 10319333931.

Almost surely, 2^{6511499511696} is an apocalyptic number.

6511499511696 is the 2551764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6511499511696

6511499511696 is an abundant number, since it is smaller than the sum of its proper divisors (11794902131457).

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

6511499511696 is an frugal number, since it uses more digits than its factorization.

6511499511696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 973 counting only the distinct ones).

The product of its digits is 15746400, while the sum is 63.

The spelling of 6511499511696 in words is "six trillion, five hundred eleven billion, four hundred ninety-nine million, five hundred eleven thousand, six hundred ninety-six".