259225000 has 48 divisors (see below), whose sum is σ = 607578300. Its totient is φ = 103680000.

The previous prime is 259224989. The next prime is 259225033. The reversal of 259225000 is 522952.

It can be written as a sum of positive squares in 6 ways, for example, as 89756676 + 169468324 = 9474^2 + 13018^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 19816 + ... + 30184.

Almost surely, 2^259225000 is an apocalyptic number.

259225000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303789150).

259225000 is an abundant number, since it is smaller than the sum of its proper divisors (348353300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

259225000 is an equidigital number, since it uses as much as digits as its factorization.

259225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10400 (or 10376 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 259225000 is about 16100.4658317702. The cubic root of 259225000 is about 637.6156396656.

Adding to 259225000 its reverse (522952), we get a palindrome (259747952).

The spelling of 259225000 in words is "two hundred fifty-nine million, two hundred twenty-five thousand".