52035200 has 192 divisors, whose sum is σ = 154811520. Its totient is φ = 16896000.

The previous prime is 52035199. The next prime is 52035211. The reversal of 52035200 is 253025.

52035200 = 41³ + 42³ + ... + 120³.

52035200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 515150 + ... + 515250.

It is an arithmetic number, because the mean of its divisors is an integer number (806310).

Almost surely, 2^52035200 is an apocalyptic number.

52035200 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 52035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77405760).

52035200 is an abundant number, since it is smaller than the sum of its proper divisors (102776320).

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

52035200 is a wasteful number, since it uses less digits than its factorization.

52035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 52035200 is about 7213.5428188928. The cubic root of 52035200 is about 373.3353174498.

Adding to 52035200 its reverse (253025), we get a palindrome (52288225).

The spelling of 52035200 in words is "fifty-two million, thirty-five thousand, two hundred".