11511668623225 has 9 divisors (see below), whose sum is σ = 14274490128717. Its totient is φ = 9209321327040.

The previous prime is 11511668623219. The next prime is 11511668623243. The reversal of 11511668623225 is 52232686611511.

The square root of 11511668623225 is 3392885.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1873649028969 + 9638019594256 = 1368813^2 + 3104516^2 .

It is not a de Polignac number, because 11511668623225 - 2¹¹ = 11511668621177 is a prime.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 16625137 + ... + 17303713.

Almost surely, 2^{11511668623225} is an apocalyptic number.

11511668623225 is the 3392885-th square number.

11511668623225 is the 1696443-rd centered octagonal number.

It is an amenable number.

11511668623225 is a deficient number, since it is larger than the sum of its proper divisors (2762821505492).

11511668623225 is an frugal number, since it uses more digits than its factorization.

11511668623225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357164 (or 678582 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 49.

Multiplying 11511668623225 by its sum of digits (49), we get a square (564071762538025 = 23750195²).

The spelling of 11511668623225 in words is "eleven trillion, five hundred eleven billion, six hundred sixty-eight million, six hundred twenty-three thousand, two hundred twenty-five".