6560516610 has 96 divisors (see below), whose sum is σ = 17339720112. Its totient is φ = 1720742400.

The previous prime is 6560516587. The next prime is 6560516659. The reversal of 6560516610 is 166150656.

It can be written as a sum of positive squares in 8 ways, for example, as 2365752321 + 4194764289 = 48639^2 + 64767^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1424832 + ... + 1429428.

Almost surely, 2^6560516610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6560516610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8669860056).

6560516610 is an abundant number, since it is smaller than the sum of its proper divisors (10779203502).

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

6560516610 is a wasteful number, since it uses less digits than its factorization.

6560516610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 6560516610 is about 80997.0160561486. The cubic root of 6560516610 is about 1872.0294637731.

It can be divided in two parts, 65605 and 16610, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 6560516610 in words is "six billion, five hundred sixty million, five hundred sixteen thousand, six hundred ten".