259861056 has 224 divisors, whose sum is σ = 860267520. Its totient is φ = 67405824.

The previous prime is 259861001. The next prime is 259861057. The reversal of 259861056 is 650168952.

259861056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 259860999 and 259861017.

It is not an unprimeable number, because it can be changed into a prime (259861057) 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, 1869435 + ... + 1869573.

It is an arithmetic number, because the mean of its divisors is an integer number (3840480).

Almost surely, 2^259861056 is an apocalyptic number.

259861056 is a gapful number since it is divisible by the number (26) 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 259861056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430133760).

259861056 is an abundant number, since it is smaller than the sum of its proper divisors (600406464).

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

259861056 is a wasteful number, since it uses less digits than its factorization.

259861056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 259861056 is about 16120.2064502909. The cubic root of 259861056 is about 638.1367159508.

The spelling of 259861056 in words is "two hundred fifty-nine million, eight hundred sixty-one thousand, fifty-six".