11513211206265 has 12 divisors (see below), whose sum is σ = 19956232757604. Its totient is φ = 6140379309984.

The previous prime is 11513211206257. The next prime is 11513211206293. The reversal of 11513211206265 is 56260211231511.

11513211206265 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 3 + 2 + 1 + 1 + 20 + 626 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4893417379449 + 6619793826816 = 2212107^2 + 2572896^2 .

It is not a de Polignac number, because 11513211206265 - 2³ = 11513211206257 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127924568914 + ... + 127924569003.

It is an arithmetic number, because the mean of its divisors is an integer number (1663019396467).

Almost surely, 2^{11513211206265} is an apocalyptic number.

11513211206265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11513211206265 is a deficient number, since it is larger than the sum of its proper divisors (8443021551339).

11513211206265 is a wasteful number, since it uses less digits than its factorization.

11513211206265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255849137928 (or 255849137925 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Adding to 11513211206265 its reverse (56260211231511), we get a palindrome (67773422437776).

The spelling of 11513211206265 in words is "eleven trillion, five hundred thirteen billion, two hundred eleven million, two hundred six thousand, two hundred sixty-five".