8561107327969 has 45 divisors (see below), whose sum is σ = 10070506470609. Its totient is φ = 7277507543880.

The previous prime is 8561107327963. The next prime is 8561107327973. The reversal of 8561107327969 is 9697237011658.

The square root of 8561107327969 is 2925937.

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

It is not a de Polignac number, because 8561107327969 - 2⁵ = 8561107327937 is a prime.

It is a super-2 number, since 2×8561107327969² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8561107327969.

It is not an unprimeable number, because it can be changed into a prime (8561107327963) 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 44 ways as a sum of consecutive naturals, for example, 30251262502 + ... + 30251262784.

Almost surely, 2^{8561107327969} is an apocalyptic number.

8561107327969 is the 2925937-th square number.

8561107327969 is the 1462969-th centered octagonal number.

It is an amenable number.

8561107327969 is a deficient number, since it is larger than the sum of its proper divisors (1509399142640).

8561107327969 is an frugal number, since it uses more digits than its factorization.

8561107327969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 64.

Multiplying 8561107327969 by its sum of digits (64), we get a square (547910868990016 = 23407496²).

The spelling of 8561107327969 in words is "eight trillion, five hundred sixty-one billion, one hundred seven million, three hundred twenty-seven thousand, nine hundred sixty-nine".