2733766074097 has 2 divisors, whose sum is σ = 2733766074098. Its totient is φ = 2733766074096.

The previous prime is 2733766074023. The next prime is 2733766074101. The reversal of 2733766074097 is 7904706673372.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2612154158656 + 121611915441 = 1616216^2 + 348729^2 .

It is a cyclic number.

It is not a de Polignac number, because 2733766074097 - 2¹¹ = 2733766072049 is a prime.

It is not a weakly prime, because it can be changed into another prime (2733766674097) 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, 1366883037048 + 1366883037049.

It is an arithmetic number, because the mean of its divisors is an integer number (1366883037049).

Almost surely, 2^{2733766074097} is an apocalyptic number.

It is an amenable number.

2733766074097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2733766074097 is an equidigital number, since it uses as much as digits as its factorization.

2733766074097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56010528, while the sum is 61.

The spelling of 2733766074097 in words is "two trillion, seven hundred thirty-three billion, seven hundred sixty-six million, seventy-four thousand, ninety-seven".