36731561040737 has 2 divisors, whose sum is σ = 36731561040738. Its totient is φ = 36731561040736.

The previous prime is 36731561040703. The next prime is 36731561040803. The reversal of 36731561040737 is 73704016513763.

36731561040737 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., 19887398901841 + 16844162138896 = 4459529^2 + 4104164^2 .

It is a cyclic number.

It is not a de Polignac number, because 36731561040737 - 2⁸ = 36731561040481 is a prime.

It is not a weakly prime, because it can be changed into another prime (36731561046737) 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, 18365780520368 + 18365780520369.

It is an arithmetic number, because the mean of its divisors is an integer number (18365780520369).

Almost surely, 2^{36731561040737} is an apocalyptic number.

It is an amenable number.

36731561040737 is a deficient number, since it is larger than the sum of its proper divisors (1).

36731561040737 is an equidigital number, since it uses as much as digits as its factorization.

36731561040737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6667920, while the sum is 53.

The spelling of 36731561040737 in words is "thirty-six trillion, seven hundred thirty-one billion, five hundred sixty-one million, forty thousand, seven hundred thirty-seven".