52545600 has 252 divisors, whose sum is σ = 193464180. Its totient is φ = 13516800.

The previous prime is 52545599. The next prime is 52545607. The reversal of 52545600 is 654525.

52545600 is a `hidden beast` number, since 5 + 2 + 54 + 5 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16257024 + 36288576 = 4032^2 + 6024^2 .

It is a super-2 number, since 2×52545600² = 5522080158720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52545607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 590356 + ... + 590444.

It is an arithmetic number, because the mean of its divisors is an integer number (767715).

Almost surely, 2^52545600 is an apocalyptic number.

52545600 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 52545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96732090).

52545600 is an abundant number, since it is smaller than the sum of its proper divisors (140918580).

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

52545600 is a wasteful number, since it uses less digits than its factorization.

52545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 52545600 is about 7248.8343890587. The cubic root of 52545600 is about 374.5519983318.

The spelling of 52545600 in words is "fifty-two million, five hundred forty-five thousand, six hundred".