11565016507 has 16 divisors (see below), whose sum is σ = 12899948544. Its totient is φ = 10277872000.

The previous prime is 11565016483. The next prime is 11565016543. The reversal of 11565016507 is 70561056511.

11565016507 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11565016507 - 2¹⁵ = 11564983739 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11565019507) 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 15 ways as a sum of consecutive naturals, for example, 442782 + ... + 468172.

It is an arithmetic number, because the mean of its divisors is an integer number (806246784).

Almost surely, 2^11565016507 is an apocalyptic number.

11565016507 is a deficient number, since it is larger than the sum of its proper divisors (1334932037).

11565016507 is a wasteful number, since it uses less digits than its factorization.

11565016507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26330.

The product of its (nonzero) digits is 31500, while the sum is 37.

The spelling of 11565016507 in words is "eleven billion, five hundred sixty-five million, sixteen thousand, five hundred seven".