• Probably 259 is the largest number that can be
written in two ways as 2^{x} + 3^{y}.
Here 259 = 2^{8} + 3^{1} = 2^{4} + 3^{5}.

• 259 can be written using four 4's:

259 has 4 divisors (see below), whose sum is σ = 304. Its totient is φ = 216.

The previous prime is 257. The next prime is 263. The reversal of 259 is 952.

259 is nontrivially palindromic in base 6.

It is a semiprime because it is the product of two primes.

It is a 3-Lehmer number, since φ(259) divides (259-1)^{3}.

It is a cyclic number.

It is not a de Polignac number, because 259 - 2^{1} = 257 is a prime.

It is a deceptive number, since it divides R_{258}.

It is a Duffinian number.

259 is a lucky number.

259 is a nontrivial repdigit in base 6.

It is a plaindrome in base 6, base 10, base 13, base 14 and base 15.

It is a nialpdrome in base 6 and base 7.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (251) by changing a digit.

It is a nontrivial repunit in base 6.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12 + ... + 25.

It is an arithmetic number, because the mean of its divisors is an integer number (76).

259 is a deficient number, since it is larger than the sum of its proper divisors (45).

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

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

The sum of its prime factors is 44.

The product of its digits is 90, while the sum is 16.

The square root of 259 is about 16.0934769394. The cubic root of 259 is about 6.3743110879.

Subtracting from 259 its sum of digits (16), we obtain a 5-th power (243 = 3^{5}).

Subtracting from 259 its product of digits (90), we obtain a square (169 = 13^{2}).

It can be divided in two parts, 25 and 9, that multiplied together give a square (225 = 15^{2}).

The spelling of 259 in words is "two hundred fifty-nine", and thus it is an aban number.

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