6512561088784 has 45 divisors (see below), whose sum is σ = 13404345901807. Its totient is φ = 3064652966912.

The previous prime is 6512561088769. The next prime is 6512561088793. The reversal of 6512561088784 is 4878801652156.

The square root of 6512561088784 is 2551972.

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

It can be written as a sum of positive squares in 4 ways, for example, as 651668707600 + 5860892381184 = 807260^2 + 2420928^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 173515332 + ... + 173552860.

Almost surely, 2^{6512561088784} is an apocalyptic number.

6512561088784 is the 2551972-nd square number.

It is an amenable number.

6512561088784 is an abundant number, since it is smaller than the sum of its proper divisors (6891784813023).

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

6512561088784 is an frugal number, since it uses more digits than its factorization.

6512561088784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75100 (or 37548 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 61.

The spelling of 6512561088784 in words is "six trillion, five hundred twelve billion, five hundred sixty-one million, eighty-eight thousand, seven hundred eighty-four".