52045600 has 72 divisors (see below), whose sum is σ = 129085488. Its totient is φ = 20486400.

The previous prime is 52045589. The next prime is 52045601. The reversal of 52045600 is 654025.

It is not an unprimeable number, because it can be changed into a prime (52045601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53115 + ... + 54085.

It is an arithmetic number, because the mean of its divisors is an integer number (1792854).

Almost surely, 2^52045600 is an apocalyptic number.

52045600 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 52045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64542744).

52045600 is an abundant number, since it is smaller than the sum of its proper divisors (77039888).

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

52045600 is a wasteful number, since it uses less digits than its factorization.

52045600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 52045600 is about 7214.2636491883. The cubic root of 52045600 is about 373.3601879775.

Adding to 52045600 its reverse (654025), we get a palindrome (52699625).

The spelling of 52045600 in words is "fifty-two million, forty-five thousand, six hundred".