5004517248 has 96 divisors (see below), whose sum is σ = 14416802400. Its totient is φ = 1666344960.

The previous prime is 5004517247. The next prime is 5004517253. The reversal of 5004517248 is 8427154005.

5004517248 is a `hidden beast` number, since 500 + 45 + 1 + 72 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (5004517247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1416348 + ... + 1419876.

It is an arithmetic number, because the mean of its divisors is an integer number (150175025).

Almost surely, 2^5004517248 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 5004517248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7208401200).

5004517248 is an abundant number, since it is smaller than the sum of its proper divisors (9412285152).

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

5004517248 is a wasteful number, since it uses less digits than its factorization.

5004517248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5004517248 is about 70742.6126743987. The cubic root of 5004517248 is about 1710.4907507030.

The spelling of 5004517248 in words is "five billion, four million, five hundred seventeen thousand, two hundred forty-eight".