36013411432657 has 2 divisors, whose sum is σ = 36013411432658. Its totient is φ = 36013411432656.

The previous prime is 36013411432589. The next prime is 36013411432681. The reversal of 36013411432657 is 75623411431063.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33868780056721 + 2144631375936 = 5819689^2 + 1464456^2 .

It is a cyclic number.

It is not a de Polignac number, because 36013411432657 - 2²³ = 36013403044049 is a prime.

It is not a weakly prime, because it can be changed into another prime (36013411432697) 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, 18006705716328 + 18006705716329.

It is an arithmetic number, because the mean of its divisors is an integer number (18006705716329).

Almost surely, 2^{36013411432657} is an apocalyptic number.

It is an amenable number.

36013411432657 is a deficient number, since it is larger than the sum of its proper divisors (1).

36013411432657 is an equidigital number, since it uses as much as digits as its factorization.

36013411432657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 36013411432657 in words is "thirty-six trillion, thirteen billion, four hundred eleven million, four hundred thirty-two thousand, six hundred fifty-seven".