12759260553 has 12 divisors (see below), whose sum is σ = 19847738820. Its totient is φ = 7851852576.

The previous prime is 12759260531. The next prime is 12759260599. The reversal of 12759260553 is 35506295721.

12759260553 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 92 + 6 + 0 + 553 = 666.

12759260553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6287379849 + 6471880704 = 79293^2 + 80448^2 .

It is not a de Polignac number, because 12759260553 - 2¹⁶ = 12759195017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12759260499 and 12759260508.

It is not an unprimeable number, because it can be changed into a prime (12759261553) 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 in 11 ways as a sum of consecutive naturals, for example, 54526638 + ... + 54526871.

It is an arithmetic number, because the mean of its divisors is an integer number (1653978235).

Almost surely, 2^12759260553 is an apocalyptic number.

12759260553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12759260553 is a deficient number, since it is larger than the sum of its proper divisors (7088478267).

12759260553 is a wasteful number, since it uses less digits than its factorization.

12759260553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109053528 (or 109053525 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 12759260553 in words is "twelve billion, seven hundred fifty-nine million, two hundred sixty thousand, five hundred fifty-three".