5006613667 has 16 divisors (see below), whose sum is σ = 5498449920. Its totient is φ = 4520966400.

The previous prime is 5006613653. The next prime is 5006613691. The reversal of 5006613667 is 7663166005.

It is a cyclic number.

It is not a de Polignac number, because 5006613667 - 2¹⁵ = 5006580899 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5006613467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1929523 + ... + 1932115.

It is an arithmetic number, because the mean of its divisors is an integer number (343653120).

Almost surely, 2^5006613667 is an apocalyptic number.

5006613667 is a deficient number, since it is larger than the sum of its proper divisors (491836253).

5006613667 is a wasteful number, since it uses less digits than its factorization.

5006613667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714.

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 5006613667 is about 70757.4283520819. The cubic root of 5006613667 is about 1710.7295619296.

The spelling of 5006613667 in words is "five billion, six million, six hundred thirteen thousand, six hundred sixty-seven".