13527012569 has 6 divisors (see below), whose sum is σ = 15735504474. Its totient is φ = 11594582160.

The previous prime is 13527012509. The next prime is 13527012593. The reversal of 13527012569 is 96521072531.

13527012569 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 only one way, i.e., 7534240000 + 5992772569 = 86800^2 + 77413^2 .

It is not a de Polignac number, because 13527012569 - 2¹⁶ = 13526947033 is a prime.

It is a super-2 number, since 2×13527012569² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13527012509) 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 5 ways as a sum of consecutive naturals, for example, 138030692 + ... + 138030789.

It is an arithmetic number, because the mean of its divisors is an integer number (2622584079).

Almost surely, 2^13527012569 is an apocalyptic number.

It is an amenable number.

13527012569 is a deficient number, since it is larger than the sum of its proper divisors (2208491905).

13527012569 is an equidigital number, since it uses as much as digits as its factorization.

13527012569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276061495 (or 276061488 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 41.

The spelling of 13527012569 in words is "thirteen billion, five hundred twenty-seven million, twelve thousand, five hundred sixty-nine".