36610607312401 has 2 divisors, whose sum is σ = 36610607312402. Its totient is φ = 36610607312400.

The previous prime is 36610607312393. The next prime is 36610607312443. The reversal of 36610607312401 is 10421370601663.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20477652250176 + 16132955062225 = 4525224^2 + 4016585^2 .

It is a cyclic number.

It is not a de Polignac number, because 36610607312401 - 2³ = 36610607312393 is a prime.

It is not a weakly prime, because it can be changed into another prime (36610607316401) 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, 18305303656200 + 18305303656201.

It is an arithmetic number, because the mean of its divisors is an integer number (18305303656201).

Almost surely, 2^{36610607312401} is an apocalyptic number.

It is an amenable number.

36610607312401 is a deficient number, since it is larger than the sum of its proper divisors (1).

36610607312401 is an equidigital number, since it uses as much as digits as its factorization.

36610607312401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 36610607312401 in words is "thirty-six trillion, six hundred ten billion, six hundred seven million, three hundred twelve thousand, four hundred one".