6561316800609 has 16 divisors (see below), whose sum is σ = 8857263945600. Its totient is φ = 4319907591296.

The previous prime is 6561316800607. The next prime is 6561316800631. The reversal of 6561316800609 is 9060086131656.

It is a cyclic number.

It is not a de Polignac number, because 6561316800609 - 2¹ = 6561316800607 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6561316800607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14420934 + ... + 14868959.

It is an arithmetic number, because the mean of its divisors is an integer number (553578996600).

Almost surely, 2^{6561316800609} is an apocalyptic number.

It is an amenable number.

6561316800609 is a deficient number, since it is larger than the sum of its proper divisors (2295947144991).

6561316800609 is a wasteful number, since it uses less digits than its factorization.

6561316800609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29290824.

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 6561316800609 in words is "six trillion, five hundred sixty-one billion, three hundred sixteen million, eight hundred thousand, six hundred nine".