Search a number
-
+
1005330281 is a prime number
BaseRepresentation
bin111011111011000…
…001111101101001
32121001201001212212
4323323001331221
54024331032111
6243431414505
733625111034
oct7373017551
92531631785
101005330281
1147653457a
12240824435
131303853b7
149773801b
155d3d598b
hex3bec1f69

1005330281 has 2 divisors, whose sum is σ = 1005330282. Its totient is φ = 1005330280.

The previous prime is 1005330257. The next prime is 1005330283. The reversal of 1005330281 is 1820335001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 760877056 + 244453225 = 27584^2 + 15635^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1005330281 is a prime.

It is a super-2 number, since 2×10053302812 = 2021377947791077922, which contains 22 as substring.

Together with 1005330283, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1005330283) 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, 502665140 + 502665141.

It is an arithmetic number, because the mean of its divisors is an integer number (502665141).

Almost surely, 21005330281 is an apocalyptic number.

It is an amenable number.

1005330281 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005330281 is an equidigital number, since it uses as much as digits as its factorization.

1005330281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1005330281 is about 31706.9437347720. The cubic root of 1005330281 is about 1001.7736127713.

Adding to 1005330281 its reverse (1820335001), we get a palindrome (2825665282).

The spelling of 1005330281 in words is "one billion, five million, three hundred thirty thousand, two hundred eighty-one".