12553735121 has 2 divisors, whose sum is σ = 12553735122. Its totient is φ = 12553735120.

The previous prime is 12553735091. The next prime is 12553735171. The reversal of 12553735121 is 12153735521.

12553735121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12507290896 + 46444225 = 111836^2 + 6815^2 .

It is a cyclic number.

It is not a de Polignac number, because 12553735121 - 2³⁰ = 11479993297 is a prime.

It is not a weakly prime, because it can be changed into another prime (12553735171) 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 as a sum of consecutive naturals, namely, 6276867560 + 6276867561.

It is an arithmetic number, because the mean of its divisors is an integer number (6276867561).

Almost surely, 2^12553735121 is an apocalyptic number.

It is an amenable number.

12553735121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12553735121 is an equidigital number, since it uses as much as digits as its factorization.

12553735121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31500, while the sum is 35.

The spelling of 12553735121 in words is "twelve billion, five hundred fifty-three million, seven hundred thirty-five thousand, one hundred twenty-one".