5003514000 has 240 divisors, whose sum is σ = 17611841520. Its totient is φ = 1323878400.

The previous prime is 5003513993. The next prime is 5003514011. The reversal of 5003514000 is 4153005.

It can be written as a sum of positive squares in 8 ways, for example, as 224280576 + 4779233424 = 14976^2 + 69132^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2464986 + ... + 2467014.

It is an arithmetic number, because the mean of its divisors is an integer number (73382673).

Almost surely, 2^5003514000 is an apocalyptic number.

5003514000 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 5003514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805920760).

5003514000 is an abundant number, since it is smaller than the sum of its proper divisors (12608327520).

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

5003514000 is a wasteful number, since it uses less digits than its factorization.

5003514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5003514000 is about 70735.5214867325. The cubic root of 5003514000 is about 1710.3764432335.

Adding to 5003514000 its reverse (4153005), we get a palindrome (5007667005).

The spelling of 5003514000 in words is "five billion, three million, five hundred fourteen thousand".