5011106506009 has 2 divisors, whose sum is σ = 5011106506010. Its totient is φ = 5011106506008.

The previous prime is 5011106505959. The next prime is 5011106506013. The reversal of 5011106506009 is 9006056011105.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5005421798400 + 5684707609 = 2237280^2 + 75397^2 .

It is a cyclic number.

It is not a de Polignac number, because 5011106506009 - 2¹¹ = 5011106503961 is a prime.

It is a super-2 number, since 2×5011106506009² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (5011106506079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2505553253004 + 2505553253005.

It is an arithmetic number, because the mean of its divisors is an integer number (2505553253005).

Almost surely, 2^{5011106506009} is an apocalyptic number.

It is an amenable number.

5011106506009 is a deficient number, since it is larger than the sum of its proper divisors (1).

5011106506009 is an equidigital number, since it uses as much as digits as its factorization.

5011106506009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8100, while the sum is 34.

The spelling of 5011106506009 in words is "five trillion, eleven billion, one hundred six million, five hundred six thousand, nine".