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12765527309 is a prime number
BaseRepresentation
bin10111110001110001…
…00111110100001101
31012221122120222101202
423320320213310031
5202120433333214
65510413315245
7631225122533
oct137070476415
935848528352
1012765527309
115460897677
122583195b25
131285937972
14891572153
154eaa886de
hex2f8e27d0d

12765527309 has 2 divisors, whose sum is σ = 12765527310. Its totient is φ = 12765527308.

The previous prime is 12765527233. The next prime is 12765527329. The reversal of 12765527309 is 90372556721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7956104809 + 4809422500 = 89197^2 + 69350^2 .

It is a cyclic number.

It is not a de Polignac number, because 12765527309 - 220 = 12764478733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12765527329) 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, 6382763654 + 6382763655.

It is an arithmetic number, because the mean of its divisors is an integer number (6382763655).

Almost surely, 212765527309 is an apocalyptic number.

It is an amenable number.

12765527309 is a deficient number, since it is larger than the sum of its proper divisors (1).

12765527309 is an equidigital number, since it uses as much as digits as its factorization.

12765527309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 793800, while the sum is 47.

The spelling of 12765527309 in words is "twelve billion, seven hundred sixty-five million, five hundred twenty-seven thousand, three hundred nine".