259217088 has 224 divisors, whose sum is σ = 806500800. Its totient is φ = 72744960.

The previous prime is 259217083. The next prime is 259217093. The reversal of 259217088 is 880712952.

It is an interprime number because it is at equal distance from previous prime (259217083) and next prime (259217093).

It is a super-2 number, since 2×259217088² = 134386997422399488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (259217083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1739638 + ... + 1739786.

It is an arithmetic number, because the mean of its divisors is an integer number (3600450).

Almost surely, 2^259217088 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 259217088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403250400).

259217088 is an abundant number, since it is smaller than the sum of its proper divisors (547283712).

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

259217088 is a wasteful number, since it uses less digits than its factorization.

259217088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 259217088 is about 16100.2201227188. The cubic root of 259217088 is about 637.6091525517.

The spelling of 259217088 in words is "two hundred fifty-nine million, two hundred seventeen thousand, eighty-eight".