5017575200 has 144 divisors (see below), whose sum is σ = 13487886720. Its totient is φ = 1807488000.

The previous prime is 5017575187. The next prime is 5017575209. The reversal of 5017575200 is 25757105.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (5017575209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956585 + ... + 961815.

It is an arithmetic number, because the mean of its divisors is an integer number (93665880).

Almost surely, 2^5017575200 is an apocalyptic number.

5017575200 is a gapful number since it is divisible by the number (50) 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 5017575200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6743943360).

5017575200 is an abundant number, since it is smaller than the sum of its proper divisors (8470311520).

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

5017575200 is a wasteful number, since it uses less digits than its factorization.

5017575200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5371 (or 5358 counting only the distinct ones).

The product of its (nonzero) digits is 12250, while the sum is 32.

The square root of 5017575200 is about 70834.8445328992. The cubic root of 5017575200 is about 1711.9771483543.

The spelling of 5017575200 in words is "five billion, seventeen million, five hundred seventy-five thousand, two hundred".