11506507110009 has 6 divisors (see below), whose sum is σ = 16620510270026. Its totient is φ = 7671004740000.

The previous prime is 11506507109969. The next prime is 11506507110023. The reversal of 11506507110009 is 90001170560511.

11506507110009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7390802271609 + 4115704838400 = 2718603^2 + 2028720^2 .

It is not a de Polignac number, because 11506507110009 - 2¹² = 11506507105913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11506507100009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 639250394992 + ... + 639250395009.

Almost surely, 2^{11506507110009} is an apocalyptic number.

It is an amenable number.

11506507110009 is a deficient number, since it is larger than the sum of its proper divisors (5114003160017).

11506507110009 is a wasteful number, since it uses less digits than its factorization.

11506507110009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278500790007 (or 1278500790004 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 36.

The spelling of 11506507110009 in words is "eleven trillion, five hundred six billion, five hundred seven million, one hundred ten thousand, nine".