36687873361 has 2 divisors, whose sum is σ = 36687873362. Its totient is φ = 36687873360.

The previous prime is 36687873337. The next prime is 36687873401. The reversal of 36687873361 is 16337878663.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36275011600 + 412861761 = 190460^2 + 20319^2 .

It is a cyclic number.

It is not a de Polignac number, because 36687873361 - 2⁵ = 36687873329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36687873296 and 36687873305.

It is not a weakly prime, because it can be changed into another prime (36687870361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18343936680 + 18343936681.

It is an arithmetic number, because the mean of its divisors is an integer number (18343936681).

Almost surely, 2^36687873361 is an apocalyptic number.

It is an amenable number.

36687873361 is a deficient number, since it is larger than the sum of its proper divisors (1).

36687873361 is an equidigital number, since it uses as much as digits as its factorization.

36687873361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18289152, while the sum is 58.

The spelling of 36687873361 in words is "thirty-six billion, six hundred eighty-seven million, eight hundred seventy-three thousand, three hundred sixty-one".