3538333666561 has 2 divisors, whose sum is σ = 3538333666562. Its totient is φ = 3538333666560.

The previous prime is 3538333666559. The next prime is 3538333666589. The reversal of 3538333666561 is 1656663338353.

3538333666561 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., 2982377025936 + 555956640625 = 1726956^2 + 745625^2 .

It is a cyclic number.

It is not a de Polignac number, because 3538333666561 - 2¹ = 3538333666559 is a prime.

Together with 3538333666559, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 3538333666496 and 3538333666505.

It is not a weakly prime, because it can be changed into another prime (3538333666261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1769166833280 + 1769166833281.

It is an arithmetic number, because the mean of its divisors is an integer number (1769166833281).

Almost surely, 2^{3538333666561} is an apocalyptic number.

It is an amenable number.

3538333666561 is a deficient number, since it is larger than the sum of its proper divisors (1).

3538333666561 is an equidigital number, since it uses as much as digits as its factorization.

3538333666561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 62985600, while the sum is 58.

The spelling of 3538333666561 in words is "three trillion, five hundred thirty-eight billion, three hundred thirty-three million, six hundred sixty-six thousand, five hundred sixty-one".