52505600 has 132 divisors (see below), whose sum is σ = 149250864. Its totient is φ = 17940480.

The previous prime is 52505587. The next prime is 52505603. The reversal of 52505600 is 650525.

It is not an unprimeable number, because it can be changed into a prime (52505603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179054 + ... + 179346.

Almost surely, 2^52505600 is an apocalyptic number.

52505600 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 52505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74625432).

52505600 is an abundant number, since it is smaller than the sum of its proper divisors (96745264).

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

52505600 is a wasteful number, since it uses less digits than its factorization.

52505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 52505600 is about 7246.0747995035. The cubic root of 52505600 is about 374.4569324385.

The spelling of 52505600 in words is "fifty-two million, five hundred five thousand, six hundred".