5201004000 has 192 divisors, whose sum is σ = 17149466880. Its totient is φ = 1377907200.

The previous prime is 5201003981. The next prime is 5201004019. The reversal of 5201004000 is 4001025.

It is an interprime number because it is at equal distance from previous prime (5201003981) and next prime (5201004019).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1954671 + ... + 1957329.

It is an arithmetic number, because the mean of its divisors is an integer number (89320140).

Almost surely, 2^5201004000 is an apocalyptic number.

5201004000 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 5201004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8574733440).

5201004000 is an abundant number, since it is smaller than the sum of its proper divisors (11948462880).

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

5201004000 is a wasteful number, since it uses less digits than its factorization.

5201004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 5201004000 is about 72117.9866607492. The cubic root of 5201004000 is about 1732.5897040273.

Adding to 5201004000 its reverse (4001025), we get a palindrome (5205005025).

The spelling of 5201004000 in words is "five billion, two hundred one million, four thousand".