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288479125513 is a prime number
BaseRepresentation
bin1000011001010101011…
…00100010000000001001
31000120121121100222001001
410030222230202000021
514211301124004023
6340305300455001
726561532052105
oct4145254420011
91016547328031
10288479125513
11101385a44827
1247aab0aa461
1321285020a07
14dd69004905
1577860316ad
hex432ab22009

288479125513 has 2 divisors, whose sum is σ = 288479125514. Its totient is φ = 288479125512.

The previous prime is 288479125507. The next prime is 288479125577. The reversal of 288479125513 is 315521974882.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 287948145664 + 530979849 = 536608^2 + 23043^2 .

It is a cyclic number.

It is not a de Polignac number, because 288479125513 - 25 = 288479125481 is a prime.

It is not a weakly prime, because it can be changed into another prime (288479125813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144239562756 + 144239562757.

It is an arithmetic number, because the mean of its divisors is an integer number (144239562757).

Almost surely, 2288479125513 is an apocalyptic number.

It is an amenable number.

288479125513 is a deficient number, since it is larger than the sum of its proper divisors (1).

288479125513 is an equidigital number, since it uses as much as digits as its factorization.

288479125513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4838400, while the sum is 55.

The spelling of 288479125513 in words is "two hundred eighty-eight billion, four hundred seventy-nine million, one hundred twenty-five thousand, five hundred thirteen".