6510682972816 has 45 divisors (see below), whose sum is σ = 13865707022979. Its totient is φ = 2959350319200.

The previous prime is 6510682972769. The next prime is 6510682972819. The reversal of 6510682972816 is 6182792860156.

The square root of 6510682972816 is 2551604.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6510682972819) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 112241581 + ... + 112299571.

Almost surely, 2^{6510682972816} is an apocalyptic number.

6510682972816 is the 2551604-th square number.

It is an amenable number.

6510682972816 is an abundant number, since it is smaller than the sum of its proper divisors (7355024050163).

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

6510682972816 is an frugal number, since it uses more digits than its factorization.

6510682972816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116012 (or 58004 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 6510682972816 in words is "six trillion, five hundred ten billion, six hundred eighty-two million, nine hundred seventy-two thousand, eight hundred sixteen".