5032731600 has 360 divisors, whose sum is σ = 19172757240. Its totient is φ = 1214853120.

The previous prime is 5032731593. The next prime is 5032731619. The reversal of 5032731600 is 61372305.

It is a happy number.

5032731600 is a `hidden beast` number, since 5 + 0 + 3 + 27 + 31 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 350887824 + 4681843776 = 18732^2 + 68424^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2479386 + ... + 2481414.

It is an arithmetic number, because the mean of its divisors is an integer number (53257659).

Almost surely, 2^5032731600 is an apocalyptic number.

5032731600 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 5032731600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9586378620).

5032731600 is an abundant number, since it is smaller than the sum of its proper divisors (14140025640).

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

5032731600 is a wasteful number, since it uses less digits than its factorization.

5032731600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 5032731600 is about 70941.7479344850. The cubic root of 5032731600 is about 1713.6991838696.

The spelling of 5032731600 in words is "five billion, thirty-two million, seven hundred thirty-one thousand, six hundred".