36552162321121 has 2 divisors, whose sum is σ = 36552162321122. Its totient is φ = 36552162321120.

The previous prime is 36552162321071. The next prime is 36552162321127. The reversal of 36552162321121 is 12112326125563.

36552162321121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26765050515025 + 9787111806096 = 5173495^2 + 3128436^2 .

It is an emirp because it is prime and its reverse (12112326125563) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36552162321121 - 2¹⁵ = 36552162288353 is a prime.

It is not a weakly prime, because it can be changed into another prime (36552162321127) 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, 18276081160560 + 18276081160561.

It is an arithmetic number, because the mean of its divisors is an integer number (18276081160561).

Almost surely, 2^{36552162321121} is an apocalyptic number.

It is an amenable number.

36552162321121 is a deficient number, since it is larger than the sum of its proper divisors (1).

36552162321121 is an equidigital number, since it uses as much as digits as its factorization.

36552162321121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 129600, while the sum is 40.

Adding to 36552162321121 its reverse (12112326125563), we get a palindrome (48664488446684).

The spelling of 36552162321121 in words is "thirty-six trillion, five hundred fifty-two billion, one hundred sixty-two million, three hundred twenty-one thousand, one hundred twenty-one".