5813521200 has 480 divisors, whose sum is σ = 22344403200. Its totient is φ = 1430784000.

The previous prime is 5813521183. The next prime is 5813521223. The reversal of 5813521200 is 21253185.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8412855 + ... + 8413545.

It is an arithmetic number, because the mean of its divisors is an integer number (46550840).

Almost surely, 2^5813521200 is an apocalyptic number.

5813521200 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 5813521200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11172201600).

5813521200 is an abundant number, since it is smaller than the sum of its proper divisors (16530882000).

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

5813521200 is a wasteful number, since it uses less digits than its factorization.

5813521200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5813521200 is about 76246.4504091830. The cubic root of 5813521200 is about 1798.0968774450.

Adding to 5813521200 its reverse (21253185), we get a palindrome (5834774385).

The spelling of 5813521200 in words is "five billion, eight hundred thirteen million, five hundred twenty-one thousand, two hundred".