382407568241 has 2 divisors, whose sum is σ = 382407568242. Its totient is φ = 382407568240.

The previous prime is 382407568181. The next prime is 382407568243. The reversal of 382407568241 is 142865704283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 285873078241 + 96534490000 = 534671^2 + 310700^2 .

It is an emirp because it is prime and its reverse (142865704283) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 382407568241 - 2³⁸ = 107529661297 is a prime.

Together with 382407568243, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 382407568241.

It is not a weakly prime, because it can be changed into another prime (382407568243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191203784120 + 191203784121.

It is an arithmetic number, because the mean of its divisors is an integer number (191203784121).

Almost surely, 2^382407568241 is an apocalyptic number.

It is an amenable number.

382407568241 is a deficient number, since it is larger than the sum of its proper divisors (1).

382407568241 is an equidigital number, since it uses as much as digits as its factorization.

382407568241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2580480, while the sum is 50.

The spelling of 382407568241 in words is "three hundred eighty-two billion, four hundred seven million, five hundred sixty-eight thousand, two hundred forty-one".