585113000000 has 98 divisors (see below), whose sum is σ = 1451338414818. Its totient is φ = 234044800000.

The previous prime is 585112999987. The next prime is 585113000029. The reversal of 585113000000 is 311585.

It can be written as a sum of positive squares in 7 ways, for example, as 584515295296 + 597704704 = 764536^2 + 24448^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 585113000000.

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 13 ways as a sum of consecutive naturals, for example, 707444 + ... + 1292556.

Almost surely, 2^585113000000 is an apocalyptic number.

585113000000 is a gapful number since it is divisible by the number (50) 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 585113000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725669207409).

585113000000 is an abundant number, since it is smaller than the sum of its proper divisors (866225414818).

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

585113000000 is an frugal number, since it uses more digits than its factorization.

585113000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585155 (or 585120 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

Adding to 585113000000 its reverse (311585), we get a palindrome (585113311585).

The spelling of 585113000000 in words is "five hundred eighty-five billion, one hundred thirteen million", and thus it is an aban number.