52306560 has 160 divisors (see below), whose sum is σ = 186981300. Its totient is φ = 13934592.

The previous prime is 52306559. The next prime is 52306613. The reversal of 52306560 is 6560325.

52306560 is a `hidden beast` number, since 5 + 2 + 3 + 0 + 656 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50808384 + 1498176 = 7128^2 + 1224^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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 19 ways as a sum of consecutive naturals, for example, 51336 + ... + 52344.

Almost surely, 2^52306560 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 52306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93490650).

52306560 is an abundant number, since it is smaller than the sum of its proper divisors (134674740).

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

52306560 is a wasteful number, since it uses less digits than its factorization.

52306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 52306560 is about 7232.3274262163. The cubic root of 52306560 is about 373.9831652845.

Adding to 52306560 its reverse (6560325), we get a palindrome (58866885).

The spelling of 52306560 in words is "fifty-two million, three hundred six thousand, five hundred sixty".