258585516 has 144 divisors (see below), whose sum is σ = 801964800. Its totient is φ = 68605056.

The previous prime is 258585499. The next prime is 258585559. The reversal of 258585516 is 615585852.

258585516 is a `hidden beast` number, since 2 + 58 + 5 + 85 + 516 = 666.

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 47 ways as a sum of consecutive naturals, for example, 253255 + ... + 254273.

It is an arithmetic number, because the mean of its divisors is an integer number (5569200).

Almost surely, 2^258585516 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 258585516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400982400).

258585516 is an abundant number, since it is smaller than the sum of its proper divisors (543379284).

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

258585516 is a wasteful number, since it uses less digits than its factorization.

258585516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1103 counting only the distinct ones).

The product of its digits is 480000, while the sum is 45.

The square root of 258585516 is about 16080.5943919993. The cubic root of 258585516 is about 637.0908950747.

The spelling of 258585516 in words is "two hundred fifty-eight million, five hundred eighty-five thousand, five hundred sixteen".