11617016513 has 2 divisors, whose sum is σ = 11617016514. Its totient is φ = 11617016512.

The previous prime is 11617016507. The next prime is 11617016557. The reversal of 11617016513 is 31561071611.

11617016513 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., 6390883249 + 5226133264 = 79943^2 + 72292^2 .

It is a cyclic number.

It is not a de Polignac number, because 11617016513 - 2¹² = 11617012417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11617016513.

It is not a weakly prime, because it can be changed into another prime (11617016563) 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, 5808508256 + 5808508257.

It is an arithmetic number, because the mean of its divisors is an integer number (5808508257).

Almost surely, 2^11617016513 is an apocalyptic number.

It is an amenable number.

11617016513 is a deficient number, since it is larger than the sum of its proper divisors (1).

11617016513 is an equidigital number, since it uses as much as digits as its factorization.

11617016513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 32.

The spelling of 11617016513 in words is "eleven billion, six hundred seventeen million, sixteen thousand, five hundred thirteen".