36185059121 has 2 divisors, whose sum is σ = 36185059122. Its totient is φ = 36185059120.

The previous prime is 36185059021. The next prime is 36185059123. The reversal of 36185059121 is 12195058163.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21943978225 + 14241080896 = 148135^2 + 119336^2 .

It is a cyclic number.

It is not a de Polignac number, because 36185059121 - 2¹⁴ = 36185042737 is a prime.

Together with 36185059123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (36185059123) 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, 18092529560 + 18092529561.

It is an arithmetic number, because the mean of its divisors is an integer number (18092529561).

Almost surely, 2^36185059121 is an apocalyptic number.

It is an amenable number.

36185059121 is a deficient number, since it is larger than the sum of its proper divisors (1).

36185059121 is an equidigital number, since it uses as much as digits as its factorization.

36185059121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 41.

The spelling of 36185059121 in words is "thirty-six billion, one hundred eighty-five million, fifty-nine thousand, one hundred twenty-one".