52506300 has 144 divisors (see below), whose sum is σ = 189487872. Its totient is φ = 10905600.

The previous prime is 52506287. The next prime is 52506301. The reversal of 52506300 is 360525.

52506300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52506301) 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 47 ways as a sum of consecutive naturals, for example, 21964 + ... + 24236.

It is an arithmetic number, because the mean of its divisors is an integer number (1315888).

Almost surely, 2^52506300 is an apocalyptic number.

52506300 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 52506300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94743936).

52506300 is an abundant number, since it is smaller than the sum of its proper divisors (136981572).

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

52506300 is a wasteful number, since it uses less digits than its factorization.

52506300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 52506300 is about 7246.1231013556. The cubic root of 52506300 is about 374.4585965066.

Adding to 52506300 its reverse (360525), we get a palindrome (52866825).

The spelling of 52506300 in words is "fifty-two million, five hundred six thousand, three hundred".