3661973654093 has 2 divisors, whose sum is σ = 3661973654094. Its totient is φ = 3661973654092.

The previous prime is 3661973654033. The next prime is 3661973654117. The reversal of 3661973654093 is 3904563791663.

3661973654093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3655675168324 + 6298485769 = 1911982^2 + 79363^2 .

It is a cyclic number.

It is not a de Polignac number, because 3661973654093 - 2¹⁸ = 3661973391949 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3661973654033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1830986827046 + 1830986827047.

It is an arithmetic number, because the mean of its divisors is an integer number (1830986827047).

Almost surely, 2^{3661973654093} is an apocalyptic number.

It is an amenable number.

3661973654093 is a deficient number, since it is larger than the sum of its proper divisors (1).

3661973654093 is an equidigital number, since it uses as much as digits as its factorization.

3661973654093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 66134880, while the sum is 62.

The spelling of 3661973654093 in words is "three trillion, six hundred sixty-one billion, nine hundred seventy-three million, six hundred fifty-four thousand, ninety-three".