53202528 has 96 divisors (see below), whose sum is σ = 156643200. Its totient is φ = 17566848.

The previous prime is 53202497. The next prime is 53202557. The reversal of 53202528 is 82520235.

53202528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 119875 + ... + 120317.

It is an arithmetic number, because the mean of its divisors is an integer number (1631700).

Almost surely, 2^53202528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53202528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78321600).

53202528 is an abundant number, since it is smaller than the sum of its proper divisors (103440672).

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

53202528 is a wasteful number, since it uses less digits than its factorization.

53202528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 587 counting only the distinct ones).

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

The square root of 53202528 is about 7294.0063065506. The cubic root of 53202528 is about 376.1064282998.

The spelling of 53202528 in words is "fifty-three million, two hundred two thousand, five hundred twenty-eight".