10000600009 has 3 divisors (see below), whose sum is σ = 10000700013. Its totient is φ = 10000500006.

The previous prime is 10000600003. The next prime is 10000600037. The reversal of 10000600009 is 90000600001.

The square root of 10000600009 is 100003.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 10000600009 - 2¹⁷ = 10000468937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000599965 and 10000600001.

It is not an unprimeable number, because it can be changed into a prime (10000600003) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 50002 + ... + 150004.

It is an arithmetic number, because the mean of its divisors is an integer number (3333566671).

Almost surely, 2^10000600009 is an apocalyptic number.

10000600009 is the 100003-rd square number.

10000600009 is the 50002-nd centered octagonal number.

It is an amenable number.

10000600009 is a deficient number, since it is larger than the sum of its proper divisors (100004).

10000600009 is an frugal number, since it uses more digits than its factorization.

10000600009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200006 (or 100003 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Multiplying 10000600009 by its sum of digits (16), we get a square (160009600144 = 400012²).

The spelling of 10000600009 in words is "ten billion, six hundred thousand, nine".