817626416281 has 2 divisors, whose sum is σ = 817626416282. Its totient is φ = 817626416280.

The previous prime is 817626416279. The next prime is 817626416309. The reversal of 817626416281 is 182614626718.

817626416281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 817469139600 + 157276681 = 904140^2 + 12541^2 .

It is a cyclic number.

It is not a de Polignac number, because 817626416281 - 2¹ = 817626416279 is a prime.

It is a super-2 number, since 2×817626416281² (a number of 25 digits) contains 22 as substring.

Together with 817626416279, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (817626416081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 408813208140 + 408813208141.

It is an arithmetic number, because the mean of its divisors is an integer number (408813208141).

Almost surely, 2^817626416281 is an apocalyptic number.

It is an amenable number.

817626416281 is a deficient number, since it is larger than the sum of its proper divisors (1).

817626416281 is an equidigital number, since it uses as much as digits as its factorization.

817626416281 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1548288, while the sum is 52.

The spelling of 817626416281 in words is "eight hundred seventeen billion, six hundred twenty-six million, four hundred sixteen thousand, two hundred eighty-one".