52368500 has 96 divisors (see below), whose sum is σ = 124304544. Its totient is φ = 19200000.

The previous prime is 52368469. The next prime is 52368509. The reversal of 52368500 is 586325.

52368500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 30052324 + 22316176 = 5482^2 + 4724^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52368509) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 518450 + ... + 518550.

It is an arithmetic number, because the mean of its divisors is an integer number (1294839).

Almost surely, 2^52368500 is an apocalyptic number.

52368500 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 52368500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62152272).

52368500 is an abundant number, since it is smaller than the sum of its proper divisors (71936044).

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

52368500 is a wasteful number, since it uses less digits than its factorization.

52368500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 52368500 is about 7236.6083215827. The cubic root of 52368500 is about 374.1307272709.

The spelling of 52368500 in words is "fifty-two million, three hundred sixty-eight thousand, five hundred".