5132544000 has 384 divisors, whose sum is σ = 17600768640. Its totient is φ = 1327104000.

The previous prime is 5132543987. The next prime is 5132544013. The reversal of 5132544000 is 4452315.

It is an interprime number because it is at equal distance from previous prime (5132543987) and next prime (5132544013).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31487919 + ... + 31488081.

It is an arithmetic number, because the mean of its divisors is an integer number (45835335).

Almost surely, 2^5132544000 is an apocalyptic number.

5132544000 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 5132544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8800384320).

5132544000 is an abundant number, since it is smaller than the sum of its proper divisors (12468224640).

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

5132544000 is a wasteful number, since it uses less digits than its factorization.

5132544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5132544000 is about 71641.7755223864. The cubic root of 5132544000 is about 1724.9541680745.

Adding to 5132544000 its reverse (4452315), we get a palindrome (5136996315).

The spelling of 5132544000 in words is "five billion, one hundred thirty-two million, five hundred forty-four thousand".