20005106716333 has 2 divisors, whose sum is σ = 20005106716334. Its totient is φ = 20005106716332.

The previous prime is 20005106716327. The next prime is 20005106716391. The reversal of 20005106716333 is 33361760150002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10457637065929 + 9547469650404 = 3233827^2 + 3089898^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20005106716333 is a prime.

It is a super-3 number, since 3×20005106716333³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20005106716292 and 20005106716301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20005106716393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10002553358166 + 10002553358167.

It is an arithmetic number, because the mean of its divisors is an integer number (10002553358167).

Almost surely, 2^{20005106716333} is an apocalyptic number.

It is an amenable number.

20005106716333 is a deficient number, since it is larger than the sum of its proper divisors (1).

20005106716333 is an equidigital number, since it uses as much as digits as its factorization.

20005106716333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 37.

Adding to 20005106716333 its reverse (33361760150002), we get a palindrome (53366866866335).

The spelling of 20005106716333 in words is "twenty trillion, five billion, one hundred six million, seven hundred sixteen thousand, three hundred thirty-three".