259664702233225 has 9 divisors (see below), whose sum is σ = 321984330676743. Its totient is φ = 207731697330120.

The previous prime is 259664702233219. The next prime is 259664702233333. The reversal of 259664702233225 is 522332207466952.

The square root of 259664702233225 is 16114115.

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

259664702233225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 93479292803961 + 166185409429264 = 9668469^2 + 12891292^2 .

It is not a de Polignac number, because 259664702233225 - 2³ = 259664702233217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 259664702233225.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 78959164 + ... + 82181986.

Almost surely, 2^{259664702233225} is an apocalyptic number.

259664702233225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

259664702233225 is the 16114115-th square number.

259664702233225 is the 8057058-th centered octagonal number.

It is an amenable number.

259664702233225 is a deficient number, since it is larger than the sum of its proper divisors (62319628443518).

259664702233225 is an frugal number, since it uses more digits than its factorization.

259664702233225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6445656 (or 3222828 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 58.

The spelling of 259664702233225 in words is "two hundred fifty-nine trillion, six hundred sixty-four billion, seven hundred two million, two hundred thirty-three thousand, two hundred twenty-five".