52509600 has 576 divisors, whose sum is σ = 236234880. Its totient is φ = 11059200.

The previous prime is 52509577. The next prime is 52509601. The reversal of 52509600 is 690525.

52509600 is a `hidden beast` number, since 5 + 2 + 50 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (52509601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3088792 + ... + 3088808.

It is an arithmetic number, because the mean of its divisors is an integer number (410130).

Almost surely, 2^52509600 is an apocalyptic number.

52509600 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 52509600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118117440).

52509600 is an abundant number, since it is smaller than the sum of its proper divisors (183725280).

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

52509600 is a wasteful number, since it uses less digits than its factorization.

52509600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 52509600 is about 7246.3508057504. The cubic root of 52509600 is about 374.4664412001.

The spelling of 52509600 in words is "fifty-two million, five hundred nine thousand, six hundred".