Search a number
-
+
765131009 is a prime number
BaseRepresentation
bin101101100110101…
…111100100000001
31222022201200102112
4231212233210001
53031333143014
6203531225105
724650335436
oct5546574401
91868650375
10765131009
11362995285
121942a8195
13c2694956
147388db8d
154728a73e
hex2d9af901

765131009 has 2 divisors, whose sum is σ = 765131010. Its totient is φ = 765131008.

The previous prime is 765130913. The next prime is 765131027. The reversal of 765131009 is 900131567.

765131009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 764356609 + 774400 = 27647^2 + 880^2 .

It is a cyclic number.

It is not a de Polignac number, because 765131009 - 28 = 765130753 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (765131209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 382565504 + 382565505.

It is an arithmetic number, because the mean of its divisors is an integer number (382565505).

Almost surely, 2765131009 is an apocalyptic number.

It is an amenable number.

765131009 is a deficient number, since it is larger than the sum of its proper divisors (1).

765131009 is an equidigital number, since it uses as much as digits as its factorization.

765131009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 765131009 is about 27661.0015906872. The cubic root of 765131009 is about 914.6296326211.

The spelling of 765131009 in words is "seven hundred sixty-five million, one hundred thirty-one thousand, nine".