259822161 has 27 divisors (see below), whose sum is σ = 391681641. Its totient is φ = 172344348.

The previous prime is 259822159. The next prime is 259822183. The reversal of 259822161 is 161228952.

The square root of 259822161 is 16119.

It is a perfect power (a square), and thus also a powerful number.

259822161 is a `hidden beast` number, since 2 + 598 + 2 + 2 + 1 + 61 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 259822161 - 2¹ = 259822159 is a prime.

It is not an unprimeable number, because it can be changed into a prime (259822141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1305540 + ... + 1305738.

Almost surely, 2^259822161 is an apocalyptic number.

259822161 is the 16119-th square number.

259822161 is the 8060-th centered octagonal number.

It is an amenable number.

259822161 is a deficient number, since it is larger than the sum of its proper divisors (131859480).

259822161 is an frugal number, since it uses more digits than its factorization.

259822161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 202 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The cubic root of 259822161 is about 638.1048764152.

Multiplying 259822161 by its sum of digits (36), we get a square (9353597796 = 96714²).

The spelling of 259822161 in words is "two hundred fifty-nine million, eight hundred twenty-two thousand, one hundred sixty-one".