20605120606033 has 2 divisors, whose sum is σ = 20605120606034. Its totient is φ = 20605120606032.

The previous prime is 20605120606013. The next prime is 20605120606079. The reversal of 20605120606033 is 33060602150602.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20273703932689 + 331416673344 = 4502633^2 + 575688^2 .

It is a cyclic number.

It is not a de Polignac number, because 20605120606033 - 2⁹ = 20605120605521 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20605120606033.

It is not a weakly prime, because it can be changed into another prime (20605120606013) 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, 10302560303016 + 10302560303017.

It is an arithmetic number, because the mean of its divisors is an integer number (10302560303017).

Almost surely, 2^{20605120606033} is an apocalyptic number.

It is an amenable number.

20605120606033 is a deficient number, since it is larger than the sum of its proper divisors (1).

20605120606033 is an equidigital number, since it uses as much as digits as its factorization.

20605120606033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 34.

Adding to 20605120606033 its reverse (33060602150602), we get a palindrome (53665722756635).

The spelling of 20605120606033 in words is "twenty trillion, six hundred five billion, one hundred twenty million, six hundred six thousand, thirty-three".