36772618033 has 2 divisors, whose sum is σ = 36772618034. Its totient is φ = 36772618032.

The previous prime is 36772618007. The next prime is 36772618037. The reversal of 36772618033 is 33081627763.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36072645184 + 699972849 = 189928^2 + 26457^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36772618033 is a prime.

It is not a weakly prime, because it can be changed into another prime (36772618037) 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, 18386309016 + 18386309017.

It is an arithmetic number, because the mean of its divisors is an integer number (18386309017).

Almost surely, 2^36772618033 is an apocalyptic number.

It is an amenable number.

36772618033 is a deficient number, since it is larger than the sum of its proper divisors (1).

36772618033 is an equidigital number, since it uses as much as digits as its factorization.

36772618033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 762048, while the sum is 46.

The spelling of 36772618033 in words is "thirty-six billion, seven hundred seventy-two million, six hundred eighteen thousand, thirty-three".