5132534400 has 432 divisors, whose sum is σ = 21309966990. Its totient is φ = 1172828160.

The previous prime is 5132534399. The next prime is 5132534419. The reversal of 5132534400 is 44352315.

5132534400 is a `hidden beast` number, since 5 + 1 + 3 + 253 + 4 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2260431936 + 2872102464 = 47544^2 + 53592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1409382 + ... + 1413018.

Almost surely, 2^5132534400 is an apocalyptic number.

5132534400 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 5132534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10654983495).

5132534400 is an abundant number, since it is smaller than the sum of its proper divisors (16177432590).

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

5132534400 is a wasteful number, since it uses less digits than its factorization.

5132534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5132534400 is about 71641.7085223405. The cubic root of 5132534400 is about 1724.9530926123.

Adding to 5132534400 its reverse (44352315), we get a palindrome (5176886715).

It can be divided in two parts, 513253 and 4400, that added together give a triangular number (517653 = T₁₀₁₇).

The spelling of 5132534400 in words is "five billion, one hundred thirty-two million, five hundred thirty-four thousand, four hundred".