52563600 has 240 divisors, whose sum is σ = 194352640. Its totient is φ = 13478400.

The previous prime is 52563593. The next prime is 52563601. The reversal of 52563600 is 636525.

52563600 is a `hidden beast` number, since 5 + 2 + 56 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (52563601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334722 + ... + 334878.

Almost surely, 2^52563600 is an apocalyptic number.

52563600 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 52563600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97176320).

52563600 is an abundant number, since it is smaller than the sum of its proper divisors (141789040).

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

52563600 is a wasteful number, since it uses less digits than its factorization.

52563600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 52563600 is about 7250.0758616721. The cubic root of 52563600 is about 374.5947622440.

The spelling of 52563600 in words is "fifty-two million, five hundred sixty-three thousand, six hundred".