13084828513 has 2 divisors, whose sum is σ = 13084828514. Its totient is φ = 13084828512.

The previous prime is 13084828487. The next prime is 13084828543. The reversal of 13084828513 is 31582848031.

13084828513 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., 13008999249 + 75829264 = 114057^2 + 8708^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13084828513 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13084828513.

It is not a weakly prime, because it can be changed into another prime (13084828543) 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, 6542414256 + 6542414257.

It is an arithmetic number, because the mean of its divisors is an integer number (6542414257).

Almost surely, 2^13084828513 is an apocalyptic number.

It is an amenable number.

13084828513 is a deficient number, since it is larger than the sum of its proper divisors (1).

13084828513 is an equidigital number, since it uses as much as digits as its factorization.

13084828513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 13084828513 in words is "thirteen billion, eighty-four million, eight hundred twenty-eight thousand, five hundred thirteen".