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259009441 is a prime number
BaseRepresentation
bin11110111000000…
…10101110100001
3200001101001011021
433130002232201
51012301300231
641411245441
76263354365
oct1734025641
9601331137
10259009441
11123227699
12728a9881
1341878432
14265832a5
1517b13811
hexf702ba1

259009441 has 2 divisors, whose sum is σ = 259009442. Its totient is φ = 259009440.

The previous prime is 259009393. The next prime is 259009451. The reversal of 259009441 is 144900952.

259009441 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., 136796416 + 122213025 = 11696^2 + 11055^2 .

It is a cyclic number.

It is not a de Polignac number, because 259009441 - 215 = 258976673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 259009397 and 259009406.

It is not a weakly prime, because it can be changed into another prime (259009451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129504720 + 129504721.

It is an arithmetic number, because the mean of its divisors is an integer number (129504721).

Almost surely, 2259009441 is an apocalyptic number.

It is an amenable number.

259009441 is a deficient number, since it is larger than the sum of its proper divisors (1).

259009441 is an equidigital number, since it uses as much as digits as its factorization.

259009441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 259009441 is about 16093.7702543562. The cubic root of 259009441 is about 637.4388538559.

The spelling of 259009441 in words is "two hundred fifty-nine million, nine thousand, four hundred forty-one".