11310960609 has 81 divisors (see below), whose sum is σ = 18554703609. Its totient is φ = 6891674400.

The previous prime is 11310960541. The next prime is 11310960637. The reversal of 11310960609 is 90606901311.

The square root of 11310960609 is 106353.

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

11310960609 is a `hidden beast` number, since 11 + 31 + 0 + 9 + 6 + 0 + 609 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 426629025 + 10884331584 = 20655^2 + 104328^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 11310960609 - 2⁹ = 11310960097 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11310960679) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 111989659 + ... + 111989759.

Almost surely, 2^11310960609 is an apocalyptic number.

11310960609 is the 106353-rd square number.

11310960609 is the 53177-th centered octagonal number.

It is an amenable number.

11310960609 is a deficient number, since it is larger than the sum of its proper divisors (7243743000).

11310960609 is an frugal number, since it uses more digits than its factorization.

11310960609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

Multiplying 11310960609 by its sum of digits (36), we get a square (407194581924 = 638118²).

The spelling of 11310960609 in words is "eleven billion, three hundred ten million, nine hundred sixty thousand, six hundred nine".