5181235200 has 336 divisors, whose sum is σ = 19055394960. Its totient is φ = 1380188160.

The previous prime is 5181235183. The next prime is 5181235201. The reversal of 5181235200 is 25321815.

It is a happy number.

5181235200 is a `hidden beast` number, since 5 + 18 + 123 + 520 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5181235201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5529132 + ... + 5530068.

It is an arithmetic number, because the mean of its divisors is an integer number (56712485).

Almost surely, 2^5181235200 is an apocalyptic number.

5181235200 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 5181235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9527697480).

5181235200 is an abundant number, since it is smaller than the sum of its proper divisors (13874159760).

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

5181235200 is an equidigital number, since it uses as much as digits as its factorization.

5181235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 947 counting only the distinct ones).

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

The square root of 5181235200 is about 71980.7974393171. The cubic root of 5181235200 is about 1730.3917497457.

The spelling of 5181235200 in words is "five billion, one hundred eighty-one million, two hundred thirty-five thousand, two hundred".