11007996561 has 27 divisors (see below), whose sum is σ = 16316842737. Its totient is φ = 7151279040.

The previous prime is 11007996539. The next prime is 11007996569. The reversal of 11007996561 is 16569970011.

The square root of 11007996561 is 104919.

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

11007996561 is a `hidden beast` number, since 1 + 10 + 0 + 79 + 9 + 6 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8803130625 + 2204865936 = 93825^2 + 46956^2 .

It is not a de Polignac number, because 11007996561 - 2⁹ = 11007996049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11007996569) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 12904611 + ... + 12905463.

Almost surely, 2^11007996561 is an apocalyptic number.

11007996561 is the 104919-th square number.

11007996561 is the 52460-th centered octagonal number.

It is an amenable number.

11007996561 is a deficient number, since it is larger than the sum of its proper divisors (5308846176).

11007996561 is an frugal number, since it uses more digits than its factorization.

11007996561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 11007996561 in words is "eleven billion, seven million, nine hundred ninety-six thousand, five hundred sixty-one".