259681 has 2 divisors, whose sum is σ = 259682. Its totient is φ = 259680.

The previous prime is 259667. The next prime is 259691. The reversal of 259681 is 186952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 147456 + 112225 = 384^2 + 335^2 .

It is a cyclic number.

It is not a de Polignac number, because 259681 - 2⁹ = 259169 is a prime.

It is a super-2 number, since 2×259681² = 134868443522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (259621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129840 + 129841.

It is an arithmetic number, because the mean of its divisors is an integer number (129841).

2²⁵⁹⁶⁸¹ is an apocalyptic number.

It is an amenable number.

259681 is a deficient number, since it is larger than the sum of its proper divisors (1).

259681 is an equidigital number, since it uses as much as digits as its factorization.

259681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4320, while the sum is 31.

The square root of 259681 is about 509.5890501178. The cubic root of 259681 is about 63.7989294999.

It can be divided in two parts, 2596 and 81, that multiplied together give a triangular number (210276 = T₆₄₈).

The spelling of 259681 in words is "two hundred fifty-nine thousand, six hundred eighty-one".