259001 has 2 divisors, whose sum is σ = 259002. Its totient is φ = 259000.

The previous prime is 258991. The next prime is 259009. The reversal of 259001 is 100952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 249001 + 10000 = 499^2 + 100^2 .

It is a cyclic number.

It is not a de Polignac number, because 259001 - 2¹⁴ = 242617 is a prime.

It is a Chen prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 259001.

It is not a weakly prime, because it can be changed into another prime (259009) 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, 129500 + 129501.

It is an arithmetic number, because the mean of its divisors is an integer number (129501).

2²⁵⁹⁰⁰¹ is an apocalyptic number.

It is an amenable number.

259001 is a deficient number, since it is larger than the sum of its proper divisors (1).

259001 is an equidigital number, since it uses as much as digits as its factorization.

259001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 259001 is about 508.9214084709. The cubic root of 259001 is about 63.7431929167.

Adding to 259001 its reverse (100952), we get a palindrome (359953).

The spelling of 259001 in words is "two hundred fifty-nine thousand, one".