5813431200 has 216 divisors, whose sum is σ = 20545895916. Its totient is φ = 1546752000.

The previous prime is 5813431153. The next prime is 5813431207. The reversal of 5813431200 is 21343185.

It is a happy number.

5813431200 is a `hidden beast` number, since 581 + 34 + 31 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 710329104 + 5103102096 = 26652^2 + 71436^2 .

It is not an unprimeable number, because it can be changed into a prime (5813431207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5478670 + ... + 5479730.

Almost surely, 2^5813431200 is an apocalyptic number.

5813431200 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 5813431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10272947958).

5813431200 is an abundant number, since it is smaller than the sum of its proper divisors (14732464716).

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

5813431200 is a wasteful number, since it uses less digits than its factorization.

5813431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5813431200 is about 76245.8602154897. The cubic root of 5813431200 is about 1798.0875985273.

Adding to 5813431200 its reverse (21343185), we get a palindrome (5834774385).

The spelling of 5813431200 in words is "five billion, eight hundred thirteen million, four hundred thirty-one thousand, two hundred".