41561645353201 has 2 divisors, whose sum is σ = 41561645353202. Its totient is φ = 41561645353200.

The previous prime is 41561645353181. The next prime is 41561645353211. The reversal of 41561645353201 is 10235354616514.

41561645353201 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., 41172768393201 + 388876960000 = 6416601^2 + 623600^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-41561645353201 is a prime.

It is not a weakly prime, because it can be changed into another prime (41561645353211) 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, 20780822676600 + 20780822676601.

It is an arithmetic number, because the mean of its divisors is an integer number (20780822676601).

Almost surely, 2^{41561645353201} is an apocalyptic number.

It is an amenable number.

41561645353201 is a deficient number, since it is larger than the sum of its proper divisors (1).

41561645353201 is an equidigital number, since it uses as much as digits as its factorization.

41561645353201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296000, while the sum is 46.

Adding to 41561645353201 its reverse (10235354616514), we get a palindrome (51796999969715).

The spelling of 41561645353201 in words is "forty-one trillion, five hundred sixty-one billion, six hundred forty-five million, three hundred fifty-three thousand, two hundred one".