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1363133309 is a prime number
BaseRepresentation
bin101000100111111…
…1100001101111101
310111222222100100212
41101033330031331
510242430231214
6343132402205
745531304406
oct12117741575
93458870325
101363133309
1163a4a925a
12320616365
13189541175
14cd0769ad
157ea1153e
hex513fc37d

1363133309 has 2 divisors, whose sum is σ = 1363133310. Its totient is φ = 1363133308.

The previous prime is 1363133281. The next prime is 1363133311. The reversal of 1363133309 is 9033313631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1253868100 + 109265209 = 35410^2 + 10453^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1363133309 is a prime.

It is a Sophie Germain prime.

Together with 1363133311, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1363133609) 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, 681566654 + 681566655.

It is an arithmetic number, because the mean of its divisors is an integer number (681566655).

Almost surely, 21363133309 is an apocalyptic number.

It is an amenable number.

1363133309 is a deficient number, since it is larger than the sum of its proper divisors (1).

1363133309 is an equidigital number, since it uses as much as digits as its factorization.

1363133309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 32.

The square root of 1363133309 is about 36920.6352735161. The cubic root of 1363133309 is about 1108.7818546909.

The spelling of 1363133309 in words is "one billion, three hundred sixty-three million, one hundred thirty-three thousand, three hundred nine".