52508560 has 80 divisors (see below), whose sum is σ = 136085040. Its totient is φ = 18708480.

The previous prime is 52508557. The next prime is 52508569. The reversal of 52508560 is 6580525.

It can be written as a sum of positive squares in 8 ways, for example, as 18215824 + 34292736 = 4268^2 + 5856^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52508569) by changing a digit.

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, 29290 + ... + 31030.

It is an arithmetic number, because the mean of its divisors is an integer number (1701063).

Almost surely, 2^52508560 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 52508560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68042520).

52508560 is an abundant number, since it is smaller than the sum of its proper divisors (83576480).

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

52508560 is a wasteful number, since it uses less digits than its factorization.

52508560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 52508560 is about 7246.2790451376. The cubic root of 52508560 is about 374.4639689685.

The spelling of 52508560 in words is "fifty-two million, five hundred eight thousand, five hundred sixty".