5217506784 has 240 divisors, whose sum is σ = 17618277600. Its totient is φ = 1483785216.

The previous prime is 5217506747. The next prime is 5217506797. The reversal of 5217506784 is 4876057125.

5217506784 is a `hidden beast` number, since 52 + 17 + 506 + 7 + 84 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4880202 + ... + 4881270.

It is an arithmetic number, because the mean of its divisors is an integer number (73409490).

Almost surely, 2^5217506784 is an apocalyptic number.

5217506784 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 5217506784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8809138800).

5217506784 is an abundant number, since it is smaller than the sum of its proper divisors (12400770816).

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

5217506784 is a wasteful number, since it uses less digits than its factorization.

5217506784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 5217506784 is about 72232.3112187337. The cubic root of 5217506784 is about 1734.4202714494.

The spelling of 5217506784 in words is "five billion, two hundred seventeen million, five hundred six thousand, seven hundred eighty-four".