3763566106361 has 2 divisors, whose sum is σ = 3763566106362. Its totient is φ = 3763566106360.

The previous prime is 3763566106291. The next prime is 3763566106387. The reversal of 3763566106361 is 1636016653673.

3763566106361 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., 3625810072336 + 137756034025 = 1904156^2 + 371155^2 .

It is a cyclic number.

It is not a de Polignac number, because 3763566106361 - 2¹⁴ = 3763566089977 is a prime.

It is not a weakly prime, because it can be changed into another prime (3763566106961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1881783053180 + 1881783053181.

It is an arithmetic number, because the mean of its divisors is an integer number (1881783053181).

Almost surely, 2^{3763566106361} is an apocalyptic number.

It is an amenable number.

3763566106361 is a deficient number, since it is larger than the sum of its proper divisors (1).

3763566106361 is an equidigital number, since it uses as much as digits as its factorization.

3763566106361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7348320, while the sum is 53.

The spelling of 3763566106361 in words is "three trillion, seven hundred sixty-three billion, five hundred sixty-six million, one hundred six thousand, three hundred sixty-one".