259201 has 2 divisors, whose sum is σ = 259202. Its totient is φ = 259200.

The previous prime is 259183. The next prime is 259211. The reversal of 259201 is 102952.

259201 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., 201601 + 57600 = 449^2 + 240^2 .

It is a cyclic number.

It is not a de Polignac number, because 259201 - 2⁵ = 259169 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (259211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129600 + 129601.

It is an arithmetic number, because the mean of its divisors is an integer number (129601).

259201 is a Friedman number, since it can be written as 90^2*2^5+1, using all its digits and the basic arithmetic operations.

2²⁵⁹²⁰¹ is an apocalyptic number.

It is an amenable number.

259201 is a deficient number, since it is larger than the sum of its proper divisors (1).

259201 is an equidigital number, since it uses as much as digits as its factorization.

259201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 259201 is about 509.1178645461. The cubic root of 259201 is about 63.7595961461.

It can be divided in two parts, 25920 and 1, that added together give a square (25921 = 161²).

The spelling of 259201 in words is "two hundred fifty-nine thousand, two hundred one".