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289561361 is a prime number
BaseRepresentation
bin10001010000100…
…101101100010001
3202011212020111212
4101100211230101
51043111430421
644422145505
710114142135
oct2120455421
9664766455
10289561361
111394a4811
1280b82295
1347cb46ab
142a6573c5
151a64ae5b
hex11425b11

289561361 has 2 divisors, whose sum is σ = 289561362. Its totient is φ = 289561360.

The previous prime is 289561351. The next prime is 289561373. The reversal of 289561361 is 163165982.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 267649600 + 21911761 = 16360^2 + 4681^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-289561361 is a prime.

It is not a weakly prime, because it can be changed into another prime (289561301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144780680 + 144780681.

It is an arithmetic number, because the mean of its divisors is an integer number (144780681).

Almost surely, 2289561361 is an apocalyptic number.

It is an amenable number.

289561361 is a deficient number, since it is larger than the sum of its proper divisors (1).

289561361 is an equidigital number, since it uses as much as digits as its factorization.

289561361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 77760, while the sum is 41.

The square root of 289561361 is about 17016.5026077629. The cubic root of 289561361 is about 661.5767024936.

The spelling of 289561361 in words is "two hundred eighty-nine million, five hundred sixty-one thousand, three hundred sixty-one".