809427943506241 has 2 divisors, whose sum is σ = 809427943506242. Its totient is φ = 809427943506240.

The previous prime is 809427943506229. The next prime is 809427943506251. The reversal of 809427943506241 is 142605349724908.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 490852887040000 + 318575056466241 = 22155200^2 + 17848671^2 .

It is a cyclic number.

It is not a de Polignac number, because 809427943506241 - 2⁹ = 809427943505729 is a prime.

It is not a weakly prime, because it can be changed into another prime (809427943506251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 404713971753120 + 404713971753121.

It is an arithmetic number, because the mean of its divisors is an integer number (404713971753121).

It is a 1-persistent number, because it is pandigital, but 2⋅809427943506241 = 1618855887012482 is not.

Almost surely, 2^{809427943506241} is an apocalyptic number.

It is an amenable number.

809427943506241 is a deficient number, since it is larger than the sum of its proper divisors (1).

809427943506241 is an equidigital number, since it uses as much as digits as its factorization.

809427943506241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 104509440, while the sum is 64.

The spelling of 809427943506241 in words is "eight hundred nine trillion, four hundred twenty-seven billion, nine hundred forty-three million, five hundred six thousand, two hundred forty-one".