5205224000 has 112 divisors (see below), whose sum is σ = 12968697456. Its totient is φ = 2069504000.

The previous prime is 5205223997. The next prime is 5205224023. The reversal of 5205224000 is 4225025.

It can be written as a sum of positive squares in 8 ways, for example, as 762201664 + 4443022336 = 27608^2 + 66656^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1382120 + ... + 1385880.

Almost surely, 2^5205224000 is an apocalyptic number.

5205224000 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 5205224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484348728).

5205224000 is an abundant number, since it is smaller than the sum of its proper divisors (7763473456).

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

5205224000 is a wasteful number, since it uses less digits than its factorization.

5205224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 5205224000 is about 72147.2383393848. The cubic root of 5205224000 is about 1733.0581745996.

Adding to 5205224000 its reverse (4225025), we get a palindrome (5209449025).

The spelling of 5205224000 in words is "five billion, two hundred five million, two hundred twenty-four thousand".