382506645841 has 2 divisors, whose sum is σ = 382506645842. Its totient is φ = 382506645840.

The previous prime is 382506645839. The next prime is 382506645887. The reversal of 382506645841 is 148546605283.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 378028225600 + 4478420241 = 614840^2 + 66921^2 .

It is a cyclic number.

It is not a de Polignac number, because 382506645841 - 2¹ = 382506645839 is a prime.

It is a super-2 number, since 2×382506645841² (a number of 24 digits) contains 22 as substring.

Together with 382506645839, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (382506645341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191253322920 + 191253322921.

It is an arithmetic number, because the mean of its divisors is an integer number (191253322921).

Almost surely, 2^382506645841 is an apocalyptic number.

It is an amenable number.

382506645841 is a deficient number, since it is larger than the sum of its proper divisors (1).

382506645841 is an equidigital number, since it uses as much as digits as its factorization.

382506645841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5529600, while the sum is 52.

The spelling of 382506645841 in words is "three hundred eighty-two billion, five hundred six million, six hundred forty-five thousand, eight hundred forty-one".