52536300 has 72 divisors (see below), whose sum is σ = 156146256. Its totient is φ = 13628160.

The previous prime is 52536287. The next prime is 52536317. The reversal of 52536300 is 363525.

52536300 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, 8734 + ... + 13466.

It is an arithmetic number, because the mean of its divisors is an integer number (2168698).

Almost surely, 2^52536300 is an apocalyptic number.

52536300 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 52536300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78073128).

52536300 is an abundant number, since it is smaller than the sum of its proper divisors (103609956).

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

52536300 is a wasteful number, since it uses less digits than its factorization.

52536300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4787 (or 4780 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 52536300 is about 7248.1928782283. The cubic root of 52536300 is about 374.5298998173.

Adding to 52536300 its reverse (363525), we get a palindrome (52899825).

The spelling of 52536300 in words is "fifty-two million, five hundred thirty-six thousand, three hundred".