259531001056 has 192 divisors, whose sum is σ = 563305881600. Its totient is φ = 117366681600.

The previous prime is 259531001039. The next prime is 259531001069. The reversal of 259531001056 is 650100135952.

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 31 ways as a sum of consecutive naturals, for example, 163948041 + ... + 163949623.

It is an arithmetic number, because the mean of its divisors is an integer number (2933884800).

Almost surely, 2^259531001056 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 259531001056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281652940800).

259531001056 is an abundant number, since it is smaller than the sum of its proper divisors (303774880544).

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

259531001056 is a wasteful number, since it uses less digits than its factorization.

259531001056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 37.

The spelling of 259531001056 in words is "two hundred fifty-nine billion, five hundred thirty-one million, one thousand, fifty-six".