13523765332109 has 2 divisors, whose sum is σ = 13523765332110. Its totient is φ = 13523765332108.

The previous prime is 13523765332097. The next prime is 13523765332177. The reversal of 13523765332109 is 90123356732531.

It is a happy number.

13523765332109 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., 11628952515625 + 1894812816484 = 3410125^2 + 1376522^2 .

It is a cyclic number.

It is not a de Polignac number, because 13523765332109 - 2²⁸ = 13523496896653 is a prime.

It is a super-3 number, since 3×13523765332109³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13523765332009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6761882666054 + 6761882666055.

It is an arithmetic number, because the mean of its divisors is an integer number (6761882666055).

Almost surely, 2^{13523765332109} is an apocalyptic number.

It is an amenable number.

13523765332109 is a deficient number, since it is larger than the sum of its proper divisors (1).

13523765332109 is an equidigital number, since it uses as much as digits as its factorization.

13523765332109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3061800, while the sum is 50.

The spelling of 13523765332109 in words is "thirteen trillion, five hundred twenty-three billion, seven hundred sixty-five million, three hundred thirty-two thousand, one hundred nine".