259551216 has 120 divisors (see below), whose sum is σ = 759142384. Its totient is φ = 85847040.

The previous prime is 259551203. The next prime is 259551241. The reversal of 259551216 is 612155952.

259551216 is a `hidden beast` number, since 2 + 595 + 51 + 2 + 16 = 666.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 936870 + ... + 937146.

Almost surely, 2^259551216 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 259551216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379571192).

259551216 is an abundant number, since it is smaller than the sum of its proper divisors (499591168).

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

259551216 is a wasteful number, since it uses less digits than its factorization.

259551216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 523 counting only the distinct ones).

The product of its digits is 27000, while the sum is 36.

The square root of 259551216 is about 16110.5932851649. The cubic root of 259551216 is about 637.8829920085.

The spelling of 259551216 in words is "two hundred fifty-nine million, five hundred fifty-one thousand, two hundred sixteen".