Search a number
-
+
1008566565649 is a prime number
BaseRepresentation
bin11101010110100110100…
…00000111101100010001
310120102021201221001100021
432223103100013230101
5113011021020100044
62051155025423441
7132603135234046
oct16532320075421
93512251831307
101008566565649
11359804595515
12143572a9ab81
1374151ccc2b6
1436b5a0731cd
151b37d877e84
hexead3407b11

1008566565649 has 2 divisors, whose sum is σ = 1008566565650. Its totient is φ = 1008566565648.

The previous prime is 1008566565577. The next prime is 1008566565701. The reversal of 1008566565649 is 9465656658001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 987304551424 + 21262014225 = 993632^2 + 145815^2 .

It is a cyclic number.

It is not a de Polignac number, because 1008566565649 - 27 = 1008566565521 is a prime.

It is a super-3 number, since 3×10085665656493 (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1008566565949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504283282824 + 504283282825.

It is an arithmetic number, because the mean of its divisors is an integer number (504283282825).

Almost surely, 21008566565649 is an apocalyptic number.

It is an amenable number.

1008566565649 is a deficient number, since it is larger than the sum of its proper divisors (1).

1008566565649 is an equidigital number, since it uses as much as digits as its factorization.

1008566565649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656000, while the sum is 61.

The spelling of 1008566565649 in words is "one trillion, eight billion, five hundred sixty-six million, five hundred sixty-five thousand, six hundred forty-nine".