6561087577444 has 27 divisors (see below), whose sum is σ = 11506439260953. Its totient is φ = 3273548436000.

The previous prime is 6561087577427. The next prime is 6561087577483. The reversal of 6561087577444 is 4447757801656.

The square root of 6561087577444 is 2561462.

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

It can be written as a sum of positive squares in only one way, i.e., 5514804083044 + 1046283494400 = 2348362^2 + 1022880^2 .

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, 3078876259 + ... + 3078878389.

Almost surely, 2^{6561087577444} is an apocalyptic number.

6561087577444 is the 2561462-nd square number.

It is an amenable number.

6561087577444 is a deficient number, since it is larger than the sum of its proper divisors (4945351683509).

6561087577444 is an frugal number, since it uses more digits than its factorization.

6561087577444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 64.

Multiplying 6561087577444 by its sum of digits (64), we get a square (419909604956416 = 20491696²).

It can be divided in two parts, 6561087 and 577444, that added together give a triangular number (7138531 = T₃₇₇₈).

The spelling of 6561087577444 in words is "six trillion, five hundred sixty-one billion, eighty-seven million, five hundred seventy-seven thousand, four hundred forty-four".