259238814025 has 27 divisors (see below), whose sum is σ = 325829478261. Its totient is φ = 204606991680.

The previous prime is 259238814013. The next prime is 259238814041. The reversal of 259238814025 is 520418832952.

The square root of 259238814025 is 509155.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9642650809 + 249596163216 = 98197^2 + 499596^2 .

It is not a de Polignac number, because 259238814025 - 2⁹ = 259238813513 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 259238814025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 201115581 + ... + 201116869.

Almost surely, 2^259238814025 is an apocalyptic number.

259238814025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

259238814025 is the 509155-th square number.

259238814025 is the 254578-th centered octagonal number.

It is an amenable number.

259238814025 is a deficient number, since it is larger than the sum of its proper divisors (66590664236).

259238814025 is an frugal number, since it uses more digits than its factorization.

259238814025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

Multiplying 259238814025 by its sum of digits (49), we get a square (12702701887225 = 3564085²).

The spelling of 259238814025 in words is "two hundred fifty-nine billion, two hundred thirty-eight million, eight hundred fourteen thousand, twenty-five".