259281152 has 72 divisors (see below), whose sum is σ = 561875160. Its totient is φ = 119408640.

The previous prime is 259281151. The next prime is 259281167. The reversal of 259281152 is 251182952.

It can be written as a sum of positive squares in 4 ways, for example, as 101929216 + 157351936 = 10096^2 + 12544^2 .

It is not an unprimeable number, because it can be changed into a prime (259281151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 562202 + ... + 562662.

Almost surely, 2^259281152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259281152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280937580).

259281152 is an abundant number, since it is smaller than the sum of its proper divisors (302594008).

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

259281152 is an frugal number, since it uses more digits than its factorization.

259281152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 476 counting only the distinct ones).

The product of its digits is 14400, while the sum is 35.

The square root of 259281152 is about 16102.2095378243. The cubic root of 259281152 is about 637.6616753598.

The spelling of 259281152 in words is "two hundred fifty-nine million, two hundred eighty-one thousand, one hundred fifty-two".