36306766760417 has 2 divisors, whose sum is σ = 36306766760418. Its totient is φ = 36306766760416.

The previous prime is 36306766760359. The next prime is 36306766760441. The reversal of 36306766760417 is 71406766760363.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36147041842081 + 159724918336 = 6012241^2 + 399656^2 .

It is a cyclic number.

It is not a de Polignac number, because 36306766760417 - 2¹⁸ = 36306766498273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36306766760417.

It is not a weakly prime, because it can be changed into another prime (36306766160417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18153383380208 + 18153383380209.

It is an arithmetic number, because the mean of its divisors is an integer number (18153383380209).

Almost surely, 2^{36306766760417} is an apocalyptic number.

It is an amenable number.

36306766760417 is a deficient number, since it is larger than the sum of its proper divisors (1).

36306766760417 is an equidigital number, since it uses as much as digits as its factorization.

36306766760417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96018048, while the sum is 62.

The spelling of 36306766760417 in words is "thirty-six trillion, three hundred six billion, seven hundred sixty-six million, seven hundred sixty thousand, four hundred seventeen".