53200584 has 64 divisors (see below), whose sum is σ = 149904000. Its totient is φ = 17478720.

The previous prime is 53200583. The next prime is 53200597. The reversal of 53200584 is 48500235.

53200584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (53200583) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13602 + ... + 17070.

It is an arithmetic number, because the mean of its divisors is an integer number (2342250).

Almost surely, 2^53200584 is an apocalyptic number.

53200584 is a gapful number since it is divisible by the number (54) 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 53200584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74952000).

53200584 is an abundant number, since it is smaller than the sum of its proper divisors (96703416).

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

53200584 is a wasteful number, since it uses less digits than its factorization.

53200584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 53200584 is about 7293.8730452346. The cubic root of 53200584 is about 376.1018473158.

The spelling of 53200584 in words is "fifty-three million, two hundred thousand, five hundred eighty-four".