5217085584 has 140 divisors (see below), whose sum is σ = 15814958016. Its totient is φ = 1663333056.

The previous prime is 5217085547. The next prime is 5217085589. The reversal of 5217085584 is 4855807125.

5217085584 is a `hidden beast` number, since 5 + 21 + 70 + 8 + 558 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (5217085589) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 258549 + ... + 277995.

Almost surely, 2^5217085584 is an apocalyptic number.

5217085584 is a gapful number since it is divisible by the number (54) 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 5217085584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7907479008).

5217085584 is an abundant number, since it is smaller than the sum of its proper divisors (10597872432).

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

5217085584 is a wasteful number, since it uses less digits than its factorization.

5217085584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19496 (or 19475 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The square root of 5217085584 is about 72229.3955671789. The cubic root of 5217085584 is about 1734.3735979770.

The spelling of 5217085584 in words is "five billion, two hundred seventeen million, eighty-five thousand, five hundred eighty-four".