259382241 has 24 divisors (see below), whose sum is σ = 383797440. Its totient is φ = 168756000.

The previous prime is 259382203. The next prime is 259382251. The reversal of 259382241 is 142283952.

It is a happy number.

259382241 is a `hidden beast` number, since 2 + 593 + 8 + 22 + 41 = 666.

It is not a de Polignac number, because 259382241 - 2¹⁴ = 259365857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 259382196 and 259382205.

It is not an unprimeable number, because it can be changed into a prime (259382251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62530 + ... + 66548.

It is an arithmetic number, because the mean of its divisors is an integer number (15991560).

Almost surely, 2^259382241 is an apocalyptic number.

It is an amenable number.

259382241 is a deficient number, since it is larger than the sum of its proper divisors (124415199).

259382241 is a wasteful number, since it uses less digits than its factorization.

259382241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197 (or 4194 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 259382241 is about 16105.3482110757. The cubic root of 259382241 is about 637.7445354843.

The spelling of 259382241 in words is "two hundred fifty-nine million, three hundred eighty-two thousand, two hundred forty-one".