259121 has 2 divisors, whose sum is σ = 259122. Its totient is φ = 259120.

The previous prime is 259099. The next prime is 259123. The reversal of 259121 is 121952.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255025 + 4096 = 505^2 + 64^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-259121 is a prime.

Together with 259123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 259093 and 259102.

It is not a weakly prime, because it can be changed into another prime (259123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129560 + 129561.

It is an arithmetic number, because the mean of its divisors is an integer number (129561).

2²⁵⁹¹²¹ is an apocalyptic number.

It is an amenable number.

259121 is a deficient number, since it is larger than the sum of its proper divisors (1).

259121 is an equidigital number, since it uses as much as digits as its factorization.

259121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 180, while the sum is 20.

The square root of 259121 is about 509.0392912143. The cubic root of 259121 is about 63.7530358672.

The spelling of 259121 in words is "two hundred fifty-nine thousand, one hundred twenty-one".