259801 has 2 divisors, whose sum is σ = 259802. Its totient is φ = 259800.

The previous prime is 259783. The next prime is 259813. The reversal of 259801 is 108952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 250000 + 9801 = 500^2 + 99^2 .

It is a cyclic number.

It is not a de Polignac number, because 259801 - 2¹³ = 251609 is a prime.

259801 is a lucky number.

It is a nialpdrome in base 8.

It is not a weakly prime, because it can be changed into another prime (259841) 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, 129900 + 129901.

It is an arithmetic number, because the mean of its divisors is an integer number (129901).

2²⁵⁹⁸⁰¹ is an apocalyptic number.

It is an amenable number.

259801 is a deficient number, since it is larger than the sum of its proper divisors (1).

259801 is an equidigital number, since it uses as much as digits as its factorization.

259801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 259801 is about 509.7067784521. The cubic root of 259801 is about 63.8087552638.

Subtracting from 259801 its product of nonzero digits (720), we obtain a square (259081 = 509²).

It can be divided in two parts, 25 and 9801, that multiplied together give a square (245025 = 495²).

The spelling of 259801 in words is "two hundred fifty-nine thousand, eight hundred one".