259825104 has 320 divisors, whose sum is σ = 951367680. Its totient is φ = 65940480.

The previous prime is 259825051. The next prime is 259825117. The reversal of 259825104 is 401528952.

It is a super-2 number, since 2×259825104² = 135018169337221632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2428219 + ... + 2428325.

It is an arithmetic number, because the mean of its divisors is an integer number (2973024).

Almost surely, 2^259825104 is an apocalyptic number.

259825104 is a gapful number since it is divisible by the number (24) 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 259825104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475683840).

259825104 is an abundant number, since it is smaller than the sum of its proper divisors (691542576).

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

259825104 is a wasteful number, since it uses less digits than its factorization.

259825104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 259825104 is about 16119.0912895237. The cubic root of 259825104 is about 638.1072856728.

The spelling of 259825104 in words is "two hundred fifty-nine million, eight hundred twenty-five thousand, one hundred four".