10851180561 has 27 divisors (see below), whose sum is σ = 16978716027. Its totient is φ = 6675149520.

The previous prime is 10851180547. The next prime is 10851180569. The reversal of 10851180561 is 16508115801.

The square root of 10851180561 is 104169.

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

10851180561 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 11 + 80 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1605204225 + 9245976336 = 40065^2 + 96156^2 .

It is not a de Polignac number, because 10851180561 - 2⁹ = 10851180049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10851180569) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4061256 + ... + 4063926.

Almost surely, 2^10851180561 is an apocalyptic number.

10851180561 is the 104169-th square number.

10851180561 is the 52085-th centered octagonal number.

It is an amenable number.

10851180561 is a deficient number, since it is larger than the sum of its proper divisors (6127535466).

10851180561 is an frugal number, since it uses more digits than its factorization.

10851180561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 36.

Multiplying 10851180561 by its sum of digits (36), we get a square (390642500196 = 625014²).

The spelling of 10851180561 in words is "ten billion, eight hundred fifty-one million, one hundred eighty thousand, five hundred sixty-one".