52652160 has 256 divisors, whose sum is σ = 204163200. Its totient is φ = 12718080.

The previous prime is 52652153. The next prime is 52652189. The reversal of 52652160 is 6125625.

52652160 = 69³ + 70³ + ... + 123³.

52652160 is a `hidden beast` number, since 5 + 2 + 652 + 1 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189942 + ... + 190218.

Almost surely, 2^52652160 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 52652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102081600).

52652160 is an abundant number, since it is smaller than the sum of its proper divisors (151511040).

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

52652160 is a wasteful number, since it uses less digits than its factorization.

52652160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 52652160 is about 7256.1808136237. The cubic root of 52652160 is about 374.8050186370.

Adding to 52652160 its reverse (6125625), we get a palindrome (58777785).

The spelling of 52652160 in words is "fifty-two million, six hundred fifty-two thousand, one hundred sixty".