36577765313161 has 2 divisors, whose sum is σ = 36577765313162. Its totient is φ = 36577765313160.

The previous prime is 36577765313101. The next prime is 36577765313171. The reversal of 36577765313161 is 16131356777563.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35897892505225 + 679872807936 = 5991485^2 + 824544^2 .

It is a cyclic number.

It is not a de Polignac number, because 36577765313161 - 2²¹ = 36577763216009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 36577765313161.

It is not a weakly prime, because it can be changed into another prime (36577765313101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18288882656580 + 18288882656581.

It is an arithmetic number, because the mean of its divisors is an integer number (18288882656581).

Almost surely, 2^{36577765313161} is an apocalyptic number.

It is an amenable number.

36577765313161 is a deficient number, since it is larger than the sum of its proper divisors (1).

36577765313161 is an equidigital number, since it uses as much as digits as its factorization.

36577765313161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 50009400, while the sum is 61.

The spelling of 36577765313161 in words is "thirty-six trillion, five hundred seventy-seven billion, seven hundred sixty-five million, three hundred thirteen thousand, one hundred sixty-one".