53205282 has 64 divisors (see below), whose sum is σ = 134064000. Its totient is φ = 15505344.

The previous prime is 53205239. The next prime is 53205283. The reversal of 53205282 is 28250235.

53205282 is a `hidden beast` number, since 532 + 0 + 52 + 82 = 666.

53205282 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53205283) 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 31 ways as a sum of consecutive naturals, for example, 11344 + ... + 15332.

It is an arithmetic number, because the mean of its divisors is an integer number (2094750).

Almost surely, 2^53205282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53205282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67032000).

53205282 is an abundant number, since it is smaller than the sum of its proper divisors (80858718).

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

53205282 is a wasteful number, since it uses less digits than its factorization.

53205282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 4026 counting only the distinct ones).

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

The square root of 53205282 is about 7294.1950892473. The cubic root of 53205282 is about 376.1129178363.

The spelling of 53205282 in words is "fifty-three million, two hundred five thousand, two hundred eighty-two".