36006160782101 has 2 divisors, whose sum is σ = 36006160782102. Its totient is φ = 36006160782100.

The previous prime is 36006160782079. The next prime is 36006160782139. The reversal of 36006160782101 is 10128706160063.

36006160782101 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., 30555798952900 + 5450361829201 = 5527730^2 + 2334601^2 .

It is an emirp because it is prime and its reverse (10128706160063) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36006160782101 - 2¹⁰ = 36006160781077 is a prime.

It is a super-2 number, since 2×36006160782101² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36006130782101) 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, 18003080391050 + 18003080391051.

It is an arithmetic number, because the mean of its divisors is an integer number (18003080391051).

Almost surely, 2^{36006160782101} is an apocalyptic number.

It is an amenable number.

36006160782101 is a deficient number, since it is larger than the sum of its proper divisors (1).

36006160782101 is an equidigital number, since it uses as much as digits as its factorization.

36006160782101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 36006160782101 in words is "thirty-six trillion, six billion, one hundred sixty million, seven hundred eighty-two thousand, one hundred one".