13261634753 has 2 divisors, whose sum is σ = 13261634754. Its totient is φ = 13261634752.

The previous prime is 13261634741. The next prime is 13261634759. The reversal of 13261634753 is 35743616231.

13261634753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12803375104 + 458259649 = 113152^2 + 21407^2 .

It is a cyclic number.

It is not a de Polignac number, because 13261634753 - 2⁶ = 13261634689 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13261634753.

It is not a weakly prime, because it can be changed into another prime (13261634759) 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, 6630817376 + 6630817377.

It is an arithmetic number, because the mean of its divisors is an integer number (6630817377).

Almost surely, 2^13261634753 is an apocalyptic number.

It is an amenable number.

13261634753 is a deficient number, since it is larger than the sum of its proper divisors (1).

13261634753 is an equidigital number, since it uses as much as digits as its factorization.

13261634753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 272160, while the sum is 41.

The spelling of 13261634753 in words is "thirteen billion, two hundred sixty-one million, six hundred thirty-four thousand, seven hundred fifty-three".