5005611585 has 48 divisors (see below), whose sum is σ = 9351451200. Its totient is φ = 2462285952.

The previous prime is 5005611577. The next prime is 5005611593. The reversal of 5005611585 is 5851165005.

5005611585 is a `hidden beast` number, since 5 + 0 + 0 + 561 + 15 + 85 = 666.

It is an interprime number because it is at equal distance from previous prime (5005611577) and next prime (5005611593).

It is not a de Polignac number, because 5005611585 - 2³ = 5005611577 is a prime.

It is a super-2 number, since 2×5005611585² = 50112294679772424450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 921006 + ... + 926424.

It is an arithmetic number, because the mean of its divisors is an integer number (194821900).

Almost surely, 2^5005611585 is an apocalyptic number.

It is an amenable number.

5005611585 is a deficient number, since it is larger than the sum of its proper divisors (4345839615).

5005611585 is a wasteful number, since it uses less digits than its factorization.

5005611585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7022 (or 7019 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The square root of 5005611585 is about 70750.3468896090. The cubic root of 5005611585 is about 1710.6154191976.

The spelling of 5005611585 in words is "five billion, five million, six hundred eleven thousand, five hundred eighty-five".