12875189316561 has 216 divisors, whose sum is σ = 23255246248416. Its totient is φ = 6800189760000.

The previous prime is 12875189316557. The next prime is 12875189316653. The reversal of 12875189316561 is 16561398157821.

It is a happy number.

12875189316561 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 51 + 8 + 9 + 3 + 16 + 561 = 666.

It is not a de Polignac number, because 12875189316561 - 2² = 12875189316557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12875189316511) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 659208366 + ... + 659227896.

It is an arithmetic number, because the mean of its divisors is an integer number (107663177076).

Almost surely, 2^{12875189316561} is an apocalyptic number.

12875189316561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12875189316561 is a deficient number, since it is larger than the sum of its proper divisors (10380056931855).

12875189316561 is a wasteful number, since it uses less digits than its factorization.

12875189316561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19677 (or 19630 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 63.

The spelling of 12875189316561 in words is "twelve trillion, eight hundred seventy-five billion, one hundred eighty-nine million, three hundred sixteen thousand, five hundred sixty-one".