11527065 has 72 divisors (see below), whose sum is σ = 23030280. Its totient is φ = 5322240.

The previous prime is 11527057. The next prime is 11527067. The reversal of 11527065 is 56072511.

It can be written as a sum of positive squares in 4 ways, for example, as 1490841 + 10036224 = 1221^2 + 3168^2 .

It is not a de Polignac number, because 11527065 - 2³ = 11527057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11527067) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157869 + ... + 157941.

It is an arithmetic number, because the mean of its divisors is an integer number (319865).

Almost surely, 2^11527065 is an apocalyptic number.

11527065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11527065 is a deficient number, since it is larger than the sum of its proper divisors (11503215).

11527065 is a wasteful number, since it uses less digits than its factorization.

11527065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 11527065 is about 3395.1531629663. The cubic root of 11527065 is about 225.8948070765.

Adding to 11527065 its reverse (56072511), we get a palindrome (67599576).

It can be divided in two parts, 11 and 527065, that added together give a square (527076 = 726²).

The spelling of 11527065 in words is "eleven million, five hundred twenty-seven thousand, sixty-five".