11505535567 has 2 divisors, whose sum is σ = 11505535568. Its totient is φ = 11505535566.

The previous prime is 11505535463. The next prime is 11505535607. The reversal of 11505535567 is 76553550511.

11505535567 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (76553550511) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11505535567 is a prime.

It is a super-2 number, since 2×11505535567² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11505535667) 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 as a sum of consecutive naturals, namely, 5752767783 + 5752767784.

It is an arithmetic number, because the mean of its divisors is an integer number (5752767784).

Almost surely, 2^11505535567 is an apocalyptic number.

11505535567 is a deficient number, since it is larger than the sum of its proper divisors (1).

11505535567 is an equidigital number, since it uses as much as digits as its factorization.

11505535567 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 393750, while the sum is 43.

The spelling of 11505535567 in words is "eleven billion, five hundred five million, five hundred thirty-five thousand, five hundred sixty-seven".