36681741961 has 2 divisors, whose sum is σ = 36681741962. Its totient is φ = 36681741960.

The previous prime is 36681741949. The next prime is 36681741989. The reversal of 36681741961 is 16914718663.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36656931600 + 24810361 = 191460^2 + 4981^2 .

It is an emirp because it is prime and its reverse (16914718663) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36681741961 - 2²¹ = 36679644809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36681741899 and 36681741908.

It is not a weakly prime, because it can be changed into another prime (36681741931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18340870980 + 18340870981.

It is an arithmetic number, because the mean of its divisors is an integer number (18340870981).

Almost surely, 2^36681741961 is an apocalyptic number.

It is an amenable number.

36681741961 is a deficient number, since it is larger than the sum of its proper divisors (1).

36681741961 is an equidigital number, since it uses as much as digits as its factorization.

36681741961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1306368, while the sum is 52.

The spelling of 36681741961 in words is "thirty-six billion, six hundred eighty-one million, seven hundred forty-one thousand, nine hundred sixty-one".