53065632 has 96 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 16374528.

The previous prime is 53065609. The next prime is 53065633. The reversal of 53065632 is 23656035.

53065632 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 super-2 number, since 2×53065632² = 5631922599118848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53065632.

It is not an unprimeable number, because it can be changed into a prime (53065633) 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, 85419 + ... + 86037.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^53065632 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 53065632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

53065632 is an abundant number, since it is smaller than the sum of its proper divisors (96924768).

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

53065632 is a wasteful number, since it uses less digits than its factorization.

53065632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 53065632 is about 7284.6161189180. The cubic root of 53065632 is about 375.7835633799.

The spelling of 53065632 in words is "fifty-three million, sixty-five thousand, six hundred thirty-two".