53634403735201 has 2 divisors, whose sum is σ = 53634403735202. Its totient is φ = 53634403735200.

The previous prime is 53634403735141. The next prime is 53634403735223. The reversal of 53634403735201 is 10253730443635.

It is a happy number.

53634403735201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34029663915025 + 19604739820176 = 5833495^2 + 4427724^2 .

It is a cyclic number.

It is not a de Polignac number, because 53634403735201 - 2²⁷ = 53634269517473 is a prime.

It is not a weakly prime, because it can be changed into another prime (53634403736201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26817201867600 + 26817201867601.

It is an arithmetic number, because the mean of its divisors is an integer number (26817201867601).

Almost surely, 2^{53634403735201} is an apocalyptic number.

It is an amenable number.

53634403735201 is a deficient number, since it is larger than the sum of its proper divisors (1).

53634403735201 is an equidigital number, since it uses as much as digits as its factorization.

53634403735201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2721600, while the sum is 46.

The spelling of 53634403735201 in words is "fifty-three trillion, six hundred thirty-four billion, four hundred three million, seven hundred thirty-five thousand, two hundred one".