5248351584 has 540 divisors, whose sum is σ = 18984654612. Its totient is φ = 1417409280.

The previous prime is 5248351583. The next prime is 5248351597. The reversal of 5248351584 is 4851538425.

5248351584 is a `hidden beast` number, since 5 + 248 + 351 + 58 + 4 = 666.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5248351583) 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 89 ways as a sum of consecutive naturals, for example, 122054667 + ... + 122054709.

Almost surely, 2^5248351584 is an apocalyptic number.

5248351584 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 5248351584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9492327306).

5248351584 is an abundant number, since it is smaller than the sum of its proper divisors (13736303028).

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

5248351584 is a wasteful number, since it uses less digits than its factorization.

5248351584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 86 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 5248351584 is about 72445.5076868124. The cubic root of 5248351584 is about 1737.8314006100.

The spelling of 5248351584 in words is "five billion, two hundred forty-eight million, three hundred fifty-one thousand, five hundred eighty-four".