52065585 has 160 divisors (see below), whose sum is σ = 117089280. Its totient is φ = 21772800.

The previous prime is 52065581. The next prime is 52065593. The reversal of 52065585 is 58556025.

52065585 is a `hidden beast` number, since 520 + 6 + 55 + 85 = 666.

52065585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52065585 - 2² = 52065581 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52065581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1679520 + ... + 1679550.

It is an arithmetic number, because the mean of its divisors is an integer number (731808).

Almost surely, 2^52065585 is an apocalyptic number.

52065585 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52065585 is an abundant number, since it is smaller than the sum of its proper divisors (65023695).

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

52065585 is a wasteful number, since it uses less digits than its factorization.

52065585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 52065585 is about 7215.6486194936. The cubic root of 52065585 is about 373.4079707456.

It can be divided in two parts, 52065 and 585, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 52065585 in words is "fifty-two million, sixty-five thousand, five hundred eighty-five".