5152035200 has 192 divisors, whose sum is σ = 13786825920. Its totient is φ = 1891123200.

The previous prime is 5152035199. The next prime is 5152035241. The reversal of 5152035200 is 25302515.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11273372 + ... + 11273828.

It is an arithmetic number, because the mean of its divisors is an integer number (71806385).

Almost surely, 2^5152035200 is an apocalyptic number.

5152035200 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 5152035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6893412960).

5152035200 is an abundant number, since it is smaller than the sum of its proper divisors (8634790720).

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

5152035200 is a wasteful number, since it uses less digits than its factorization.

5152035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 5152035200 is about 71777.6789817002. The cubic root of 5152035200 is about 1727.1349551155.

Adding to 5152035200 its reverse (25302515), we get a palindrome (5177337715).

The spelling of 5152035200 in words is "five billion, one hundred fifty-two million, thirty-five thousand, two hundred".