5005838565 has 96 divisors (see below), whose sum is σ = 11143641600. Its totient is φ = 2020474368.

The previous prime is 5005838561. The next prime is 5005838587. The reversal of 5005838565 is 5658385005.

5005838565 is a `hidden beast` number, since 5 + 0 + 0 + 5 + 83 + 8 + 565 = 666.

5005838565 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5005838565 - 2² = 5005838561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 5005838565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005838561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67611 + ... + 120759.

It is an arithmetic number, because the mean of its divisors is an integer number (116079600).

Almost surely, 2^5005838565 is an apocalyptic number.

It is an amenable number.

5005838565 is an abundant number, since it is smaller than the sum of its proper divisors (6137803035).

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

5005838565 is a wasteful number, since it uses less digits than its factorization.

5005838565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53203 (or 53200 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The square root of 5005838565 is about 70751.9509625000. The cubic root of 5005838565 is about 1710.6412748206.

The spelling of 5005838565 in words is "five billion, five million, eight hundred thirty-eight thousand, five hundred sixty-five".