10611556561 has 8 divisors (see below), whose sum is σ = 10633913640. Its totient is φ = 10589217408.

The previous prime is 10611556511. The next prime is 10611556577. The reversal of 10611556561 is 16565511601.

10611556561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 293060161 + 10318496400 = 17119^2 + 101580^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10611556561 - 2²¹ = 10609459409 is a prime.

It is a super-2 number, since 2×10611556561² (a number of 21 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 10611556561.

It is not an unprimeable number, because it can be changed into a prime (10611556511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2286135 + ... + 2290771.

It is an arithmetic number, because the mean of its divisors is an integer number (1329239205).

Almost surely, 2^10611556561 is an apocalyptic number.

It is an amenable number.

10611556561 is a deficient number, since it is larger than the sum of its proper divisors (22357079).

10611556561 is an equidigital number, since it uses as much as digits as its factorization.

10611556561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8963.

The product of its (nonzero) digits is 27000, while the sum is 37.

The spelling of 10611556561 in words is "ten billion, six hundred eleven million, five hundred fifty-six thousand, five hundred sixty-one".