5132005200 has 540 divisors, whose sum is σ = 21192125760. Its totient is φ = 1146216960.

The previous prime is 5132005199. The next prime is 5132005217. The reversal of 5132005200 is 25002315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 8290491 + ... + 8291109.

Almost surely, 2^5132005200 is an apocalyptic number.

5132005200 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 5132005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10596062880).

5132005200 is an abundant number, since it is smaller than the sum of its proper divisors (16060120560).

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

5132005200 is a wasteful number, since it uses less digits than its factorization.

5132005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5132005200 is about 71638.0150478780. The cubic root of 5132005200 is about 1724.8938056869.

Adding to 5132005200 its reverse (25002315), we get a palindrome (5157007515).

It can be divided in two parts, 513200 and 5200, that added together give a square (518400 = 720²).

The spelling of 5132005200 in words is "five billion, one hundred thirty-two million, five thousand, two hundred".