11567217601 has 9 divisors (see below), whose sum is σ = 11670405859. Its totient is φ = 11464936600.

The previous prime is 11567217551. The next prime is 11567217631. The reversal of 11567217601 is 10671276511.

It is a happy number.

The square root of 11567217601 is 107551.

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

It can be written as a sum of positive squares in only one way, i.e., 3158327601 + 8408890000 = 56199^2 + 91700^2 .

It is not a de Polignac number, because 11567217601 - 2¹⁵ = 11567184833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11567217631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14088771 + ... + 14089591.

Almost surely, 2^11567217601 is an apocalyptic number.

11567217601 is the 107551-st square number.

11567217601 is the 53776-th centered octagonal number.

It is an amenable number.

11567217601 is a deficient number, since it is larger than the sum of its proper divisors (103188258).

11567217601 is an frugal number, since it uses more digits than its factorization.

11567217601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 37.

The spelling of 11567217601 in words is "eleven billion, five hundred sixty-seven million, two hundred seventeen thousand, six hundred one".