2733107666561 has 2 divisors, whose sum is σ = 2733107666562. Its totient is φ = 2733107666560.

The previous prime is 2733107666543. The next prime is 2733107666581. The reversal of 2733107666561 is 1656667013372.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1378642312336 + 1354465354225 = 1174156^2 + 1163815^2 .

It is a cyclic number.

It is not a de Polignac number, because 2733107666561 - 2³⁸ = 2458229759617 is a prime.

It is not a weakly prime, because it can be changed into another prime (2733107666581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1366553833280 + 1366553833281.

It is an arithmetic number, because the mean of its divisors is an integer number (1366553833281).

Almost surely, 2^{2733107666561} is an apocalyptic number.

It is an amenable number.

2733107666561 is a deficient number, since it is larger than the sum of its proper divisors (1).

2733107666561 is an equidigital number, since it uses as much as digits as its factorization.

2733107666561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5715360, while the sum is 53.

The spelling of 2733107666561 in words is "two trillion, seven hundred thirty-three billion, one hundred seven million, six hundred sixty-six thousand, five hundred sixty-one".