11511953 has 2 divisors, whose sum is σ = 11511954. Its totient is φ = 11511952.

The previous prime is 11511947. The next prime is 11511961. The reversal of 11511953 is 35911511.

11511953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6390784 + 5121169 = 2528^2 + 2263^2 .

It is a cyclic number.

It is not a de Polignac number, because 11511953 - 2⁸ = 11511697 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p₇₅₈₀₁₅ and since 11511953 and 758015 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (11511923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5755976 + 5755977.

It is an arithmetic number, because the mean of its divisors is an integer number (5755977).

Almost surely, 2^11511953 is an apocalyptic number.

It is an amenable number.

11511953 is a deficient number, since it is larger than the sum of its proper divisors (1).

11511953 is an equidigital number, since it uses as much as digits as its factorization.

11511953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 675, while the sum is 26.

The square root of 11511953 is about 3392.9269075534. The cubic root of 11511953 is about 225.7960477592.

The spelling of 11511953 in words is "eleven million, five hundred eleven thousand, nine hundred fifty-three".