5005138009 has 9 divisors (see below), whose sum is σ = 5042988223. Its totient is φ = 4967571352.

The previous prime is 5005137989. The next prime is 5005138013. The reversal of 5005138009 is 9008315005.

The square root of 5005138009 is 70747.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 329313609 + 4675824400 = 18147^2 + 68380^2 .

It is a de Polignac number, because none of the positive numbers 2^k-5005138009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5005138049) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18606327 + ... + 18606595.

Almost surely, 2^5005138009 is an apocalyptic number.

5005138009 is the 70747-th square number.

5005138009 is the 35374-th centered octagonal number.

It is an amenable number.

5005138009 is a deficient number, since it is larger than the sum of its proper divisors (37850214).

5005138009 is an frugal number, since it uses more digits than its factorization.

5005138009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The cubic root of 5005138009 is about 1710.5614709475.

The spelling of 5005138009 in words is "five billion, five million, one hundred thirty-eight thousand, nine".