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209775485361329 is a prime number
BaseRepresentation
bin101111101100101000101001…
…010010011001110010110001
31000111202100012020221221122222
4233230220221102121302301
5204443430143223030304
62022053305542410425
762120531041021256
oct5754505122316261
91014670166857588
10209775485361329
1160928313718308
121b63ba89730a15
1390089882bca84
1439b328ad4d42d
15193bb1d7b14be
hexbeca29499cb1

209775485361329 has 2 divisors, whose sum is σ = 209775485361330. Its totient is φ = 209775485361328.

The previous prime is 209775485361307. The next prime is 209775485361371. The reversal of 209775485361329 is 923163584577902.

209775485361329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205053034826929 + 4722450534400 = 14319673^2 + 2173120^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-209775485361329 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (209775485361229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104887742680664 + 104887742680665.

It is an arithmetic number, because the mean of its divisors is an integer number (104887742680665).

It is a 1-persistent number, because it is pandigital, but 2⋅209775485361329 = 419550970722658 is not.

Almost surely, 2209775485361329 is an apocalyptic number.

It is an amenable number.

209775485361329 is a deficient number, since it is larger than the sum of its proper divisors (1).

209775485361329 is an equidigital number, since it uses as much as digits as its factorization.

209775485361329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 685843200, while the sum is 71.

The spelling of 209775485361329 in words is "two hundred nine trillion, seven hundred seventy-five billion, four hundred eighty-five million, three hundred sixty-one thousand, three hundred twenty-nine".