5208219520 has 128 divisors (see below), whose sum is σ = 14325696000. Its totient is φ = 1773619200.

The previous prime is 5208219517. The next prime is 5208219551. The reversal of 5208219520 is 259128025.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 672631 + ... + 680329.

It is an arithmetic number, because the mean of its divisors is an integer number (111919500).

Almost surely, 2^5208219520 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 5208219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7162848000).

5208219520 is an abundant number, since it is smaller than the sum of its proper divisors (9117476480).

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

5208219520 is a wasteful number, since it uses less digits than its factorization.

5208219520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7876 (or 7864 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 5208219520 is about 72167.9951224918. The cubic root of 5208219520 is about 1733.3905595834.

The spelling of 5208219520 in words is "five billion, two hundred eight million, two hundred nineteen thousand, five hundred twenty".