16513126544417 has 2 divisors, whose sum is σ = 16513126544418. Its totient is φ = 16513126544416.

The previous prime is 16513126544413. The next prime is 16513126544419. The reversal of 16513126544417 is 71444562131561.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13706995671616 + 2806130872801 = 3702296^2 + 1675151^2 .

It is a cyclic number.

It is not a de Polignac number, because 16513126544417 - 2² = 16513126544413 is a prime.

Together with 16513126544419, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (16513126544413) 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, 8256563272208 + 8256563272209.

It is an arithmetic number, because the mean of its divisors is an integer number (8256563272209).

Almost surely, 2^{16513126544417} is an apocalyptic number.

It is an amenable number.

16513126544417 is a deficient number, since it is larger than the sum of its proper divisors (1).

16513126544417 is an equidigital number, since it uses as much as digits as its factorization.

16513126544417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2419200, while the sum is 50.

Adding to 16513126544417 its reverse (71444562131561), we get a palindrome (87957688675978).

The spelling of 16513126544417 in words is "sixteen trillion, five hundred thirteen billion, one hundred twenty-six million, five hundred forty-four thousand, four hundred seventeen".