52524500 has 96 divisors (see below), whose sum is σ = 134534400. Its totient is φ = 17539200.

The previous prime is 52524499. The next prime is 52524523. The reversal of 52524500 is 542525.

52524500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×52524500⁴ (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150326 + ... + 150674.

It is an arithmetic number, because the mean of its divisors is an integer number (1401400).

Almost surely, 2^52524500 is an apocalyptic number.

52524500 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 52524500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67267200).

52524500 is an abundant number, since it is smaller than the sum of its proper divisors (82009900).

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

52524500 is a wasteful number, since it uses less digits than its factorization.

52524500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 23.

The square root of 52524500 is about 7247.3788365174. The cubic root of 52524500 is about 374.5018570879.

The spelling of 52524500 in words is "fifty-two million, five hundred twenty-four thousand, five hundred".