4005585052559 has 8 divisors (see below), whose sum is σ = 4006424517888. Its totient is φ = 4004745695640.

The previous prime is 4005585052531. The next prime is 4005585052597. The reversal of 4005585052559 is 9552505855004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4005585052559 is a prime.

It is a super-2 number, since 2×4005585052559² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4005585052559.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005585082559) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126235754 + ... + 126267480.

It is an arithmetic number, because the mean of its divisors is an integer number (500803064736).

Almost surely, 2^{4005585052559} is an apocalyptic number.

4005585052559 is a deficient number, since it is larger than the sum of its proper divisors (839465329).

4005585052559 is a wasteful number, since it uses less digits than its factorization.

4005585052559 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54205.

The product of its (nonzero) digits is 9000000, while the sum is 53.

The spelling of 4005585052559 in words is "four trillion, five billion, five hundred eighty-five million, fifty-two thousand, five hundred fifty-nine".