5217234624 has 840 divisors, whose sum is σ = 20181173760. Its totient is φ = 1322044416.

The previous prime is 5217234623. The next prime is 5217234629. The reversal of 5217234624 is 4264327125.

5217234624 is a `hidden beast` number, since 5 + 2 + 1 + 7 + 23 + 4 + 624 = 666.

It is a super-3 number, since 3×5217234624³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5217234623) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 111004969 + ... + 111005015.

Almost surely, 2^5217234624 is an apocalyptic number.

5217234624 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 5217234624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10090586880).

5217234624 is an abundant number, since it is smaller than the sum of its proper divisors (14963939136).

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

5217234624 is a wasteful number, since it uses less digits than its factorization.

5217234624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 5217234624 is about 72230.4272727221. The cubic root of 5217234624 is about 1734.3901134928.

The spelling of 5217234624 in words is "five billion, two hundred seventeen million, two hundred thirty-four thousand, six hundred twenty-four".