635636626506241 has 2 divisors, whose sum is σ = 635636626506242. Its totient is φ = 635636626506240.

The previous prime is 635636626506223. The next prime is 635636626506253. The reversal of 635636626506241 is 142605626636536.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 588355476481600 + 47281150024641 = 24256040^2 + 6876129^2 .

It is a cyclic number.

It is not a de Polignac number, because 635636626506241 - 2¹¹ = 635636626504193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 635636626506241.

It is not a weakly prime, because it can be changed into another prime (635636626507241) 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, 317818313253120 + 317818313253121.

It is an arithmetic number, because the mean of its divisors is an integer number (317818313253121).

Almost surely, 2^{635636626506241} is an apocalyptic number.

It is an amenable number.

635636626506241 is a deficient number, since it is larger than the sum of its proper divisors (1).

635636626506241 is an equidigital number, since it uses as much as digits as its factorization.

635636626506241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 167961600, while the sum is 61.

The spelling of 635636626506241 in words is "six hundred thirty-five trillion, six hundred thirty-six billion, six hundred twenty-six million, five hundred six thousand, two hundred forty-one".