12888852561 has 12 divisors (see below), whose sum is σ = 20049326388. Its totient is φ = 7931601504.

The previous prime is 12888852553. The next prime is 12888852589. The reversal of 12888852561 is 16525888821.

12888852561 is a `hidden beast` number, since 1 + 28 + 8 + 8 + 8 + 52 + 561 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5616003600 + 7272848961 = 74940^2 + 85281^2 .

It is not a de Polignac number, because 12888852561 - 2³ = 12888852553 is a prime.

It is a super-3 number, since 3×12888852561³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12888852498 and 12888852507.

It is not an unprimeable number, because it can be changed into a prime (12888852661) 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 11 ways as a sum of consecutive naturals, for example, 55080450 + ... + 55080683.

It is an arithmetic number, because the mean of its divisors is an integer number (1670777199).

Almost surely, 2^12888852561 is an apocalyptic number.

It is an amenable number.

12888852561 is a deficient number, since it is larger than the sum of its proper divisors (7160473827).

12888852561 is a wasteful number, since it uses less digits than its factorization.

12888852561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110161152 (or 110161149 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 54.

The spelling of 12888852561 in words is "twelve billion, eight hundred eighty-eight million, eight hundred fifty-two thousand, five hundred sixty-one".