259693225 has 27 divisors (see below), whose sum is σ = 355167589. Its totient is φ = 188223200.

The previous prime is 259693223. The next prime is 259693249. The reversal of 259693225 is 522396952.

The square root of 259693225 is 16115.

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 41126569 + 218566656 = 6413^2 + 14784^2 .

It is not a de Polignac number, because 259693225 - 2¹ = 259693223 is a prime.

It is a super-2 number, since 2×259693225² = 134881142221801250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (259693223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 886179 + ... + 886471.

Almost surely, 2^259693225 is an apocalyptic number.

259693225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

259693225 is the 16115-th square number.

259693225 is the 8058-th centered octagonal number.

It is an amenable number.

259693225 is a deficient number, since it is larger than the sum of its proper divisors (95474364).

259693225 is an equidigital number, since it uses as much as digits as its factorization.

259693225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 309 counting only the distinct ones).

The product of its digits is 291600, while the sum is 43.

The cubic root of 259693225 is about 637.9993063805. Note that the first 3 decimals are identical.

Multiplying 259693225 by its product of digits (291600), we get a square (75726544410000 = 8702100²).

The spelling of 259693225 in words is "two hundred fifty-nine million, six hundred ninety-three thousand, two hundred twenty-five".