5003564661 has 24 divisors (see below), whose sum is σ = 7659235584. Its totient is φ = 3136732800.

The previous prime is 5003564653. The next prime is 5003564689. The reversal of 5003564661 is 1664653005.

5003564661 is a `hidden beast` number, since 5 + 0 + 0 + 3 + 5 + 646 + 6 + 1 = 666.

It is not a de Polignac number, because 5003564661 - 2³ = 5003564653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5003562661) 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 23 ways as a sum of consecutive naturals, for example, 167836 + ... + 195386.

It is an arithmetic number, because the mean of its divisors is an integer number (319134816).

Almost surely, 2^5003564661 is an apocalyptic number.

5003564661 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

5003564661 is a deficient number, since it is larger than the sum of its proper divisors (2655670923).

5003564661 is a wasteful number, since it uses less digits than its factorization.

5003564661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28761 (or 28758 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5003564661 is about 70735.8795873777. The cubic root of 5003564661 is about 1710.3822157824.

The spelling of 5003564661 in words is "five billion, three million, five hundred sixty-four thousand, six hundred sixty-one".