53066112 has 128 divisors (see below), whose sum is σ = 163036800. Its totient is φ = 15114240.

The previous prime is 53066093. The next prime is 53066173. The reversal of 53066112 is 21166035.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71439 + ... + 72177.

It is an arithmetic number, because the mean of its divisors is an integer number (1273725).

Almost surely, 2^53066112 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 53066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81518400).

53066112 is an abundant number, since it is smaller than the sum of its proper divisors (109970688).

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

53066112 is a wasteful number, since it uses less digits than its factorization.

53066112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 53066112 is about 7284.6490649859. The cubic root of 53066112 is about 375.7846964143.

The spelling of 53066112 in words is "fifty-three million, sixty-six thousand, one hundred twelve".