52563168 has 120 divisors (see below), whose sum is σ = 176731632. Its totient is φ = 15012864.

The previous prime is 52563149. The next prime is 52563209. The reversal of 52563168 is 86136525.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16696 + ... + 19592.

Almost surely, 2^52563168 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 52563168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88365816).

52563168 is an abundant number, since it is smaller than the sum of its proper divisors (124168464).

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

52563168 is a wasteful number, since it uses less digits than its factorization.

52563168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2909 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 52563168 is about 7250.0460688191. The cubic root of 52563168 is about 374.5937360245.

The spelling of 52563168 in words is "fifty-two million, five hundred sixty-three thousand, one hundred sixty-eight".