259098112 has 160 divisors (see below), whose sum is σ = 654458112. Its totient is φ = 99753984.

The previous prime is 259098101. The next prime is 259098113. The reversal of 259098112 is 211890952.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259098113) 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 15 ways as a sum of consecutive naturals, for example, 3121623 + ... + 3121705.

Almost surely, 2^259098112 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 259098112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327229056).

259098112 is an abundant number, since it is smaller than the sum of its proper divisors (395360000).

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

259098112 is an equidigital number, since it uses as much as digits as its factorization.

259098112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 259098112 is about 16096.5248423379. The cubic root of 259098112 is about 637.5115872301.

The spelling of 259098112 in words is "two hundred fifty-nine million, ninety-eight thousand, one hundred twelve".