36536082686567 has 2 divisors, whose sum is σ = 36536082686568. Its totient is φ = 36536082686566.

The previous prime is 36536082686557. The next prime is 36536082686629. The reversal of 36536082686567 is 76568628063563.

36536082686567 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 is an emirp because it is prime and its reverse (76568628063563) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36536082686567 - 2¹⁴ = 36536082670183 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36536082686567.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36536082686557) 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, 18268041343283 + 18268041343284.

It is an arithmetic number, because the mean of its divisors is an integer number (18268041343284).

Almost surely, 2^{36536082686567} is an apocalyptic number.

36536082686567 is a deficient number, since it is larger than the sum of its proper divisors (1).

36536082686567 is an equidigital number, since it uses as much as digits as its factorization.

36536082686567 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1567641600, while the sum is 71.

The spelling of 36536082686567 in words is "thirty-six trillion, five hundred thirty-six billion, eighty-two million, six hundred eighty-six thousand, five hundred sixty-seven".