259033 has 2 divisors, whose sum is σ = 259034. Its totient is φ = 259032.

The previous prime is 259019. The next prime is 259099. The reversal of 259033 is 330952.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205209 + 53824 = 453^2 + 232^2 .

It is a cyclic number.

It is not a de Polignac number, because 259033 - 2⁵ = 259001 is a prime.

It is equal to p₂₂₇₆₅ and since 259033 and 22765 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 258995 and 259013.

It is not a weakly prime, because it can be changed into another prime (259733) 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, 129516 + 129517.

It is an arithmetic number, because the mean of its divisors is an integer number (129517).

2²⁵⁹⁰³³ is an apocalyptic number.

It is an amenable number.

259033 is a deficient number, since it is larger than the sum of its proper divisors (1).

259033 is an equidigital number, since it uses as much as digits as its factorization.

259033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 259033 is about 508.9528465389. The cubic root of 259033 is about 63.7458180007.

Adding to 259033 its reverse (330952), we get a palindrome (589985).

The spelling of 259033 in words is "two hundred fifty-nine thousand, thirty-three".