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259350313 is a prime number
BaseRepresentation
bin11110111010101…
…01111100101001
3200002000100202011
433131111330221
51012343202223
641422435521
76266304235
oct1735257451
9602010664
10259350313
1112343a802
1272a32ba1
1341967631
14266315c5
1517b7e80d
hexf755f29

259350313 has 2 divisors, whose sum is σ = 259350314. Its totient is φ = 259350312.

The previous prime is 259350307. The next prime is 259350331. The reversal of 259350313 is 313053952.

259350313 = 113872 + 113882.

Together with next prime (259350331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129686544 + 129663769 = 11388^2 + 11387^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-259350313 is a prime.

It is a super-3 number, since 3×2593503133 (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (259350613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129675156 + 129675157.

It is an arithmetic number, because the mean of its divisors is an integer number (129675157).

Almost surely, 2259350313 is an apocalyptic number.

259350313 is the 11388-th centered square number.

It is an amenable number.

259350313 is a deficient number, since it is larger than the sum of its proper divisors (1).

259350313 is an equidigital number, since it uses as much as digits as its factorization.

259350313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12150, while the sum is 31.

The square root of 259350313 is about 16104.3569570474. The cubic root of 259350313 is about 637.7183672278.

The spelling of 259350313 in words is "two hundred fifty-nine million, three hundred fifty thousand, three hundred thirteen".