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1006363313 is a prime number
BaseRepresentation
bin111011111110111…
…110001010110001
32121010122112221022
4323332332022301
54030112111223
6243505505225
733636642554
oct7376761261
92533575838
101006363313
1147707a71a
12241042215
13130657667
149792669b
155d53bac8
hex3bfbe2b1

1006363313 has 2 divisors, whose sum is σ = 1006363314. Its totient is φ = 1006363312.

The previous prime is 1006363279. The next prime is 1006363339. The reversal of 1006363313 is 3133636001.

It is an a-pointer prime, because the next prime (1006363339) can be obtained adding 1006363313 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 725063329 + 281299984 = 26927^2 + 16772^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1006363313 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006363343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503181656 + 503181657.

It is an arithmetic number, because the mean of its divisors is an integer number (503181657).

Almost surely, 21006363313 is an apocalyptic number.

It is an amenable number.

1006363313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006363313 is an equidigital number, since it uses as much as digits as its factorization.

1006363313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 26.

The square root of 1006363313 is about 31723.2298639341. The cubic root of 1006363313 is about 1002.1166210876.

Adding to 1006363313 its reverse (3133636001), we get a palindrome (4139999314).

The spelling of 1006363313 in words is "one billion, six million, three hundred sixty-three thousand, three hundred thirteen".