12528513 has 20 divisors (see below), whose sum is σ = 18868740. Its totient is φ = 8284032.

The previous prime is 12528499. The next prime is 12528517. The reversal of 12528513 is 31582521.

It is a happy number.

12528513 is a `hidden beast` number, since 125 + 28 + 513 = 666.

12528513 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3814209 + 8714304 = 1953^2 + 2952^2 .

It is not a de Polignac number, because 12528513 - 2⁶ = 12528449 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12528517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10533 + ... + 11661.

It is an arithmetic number, because the mean of its divisors is an integer number (943437).

Almost surely, 2^12528513 is an apocalyptic number.

It is an amenable number.

12528513 is a deficient number, since it is larger than the sum of its proper divisors (6340227).

12528513 is a wasteful number, since it uses less digits than its factorization.

12528513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1269 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 12528513 is about 3539.5639561957. The cubic root of 12528513 is about 232.2557685089.

It can be divided in two parts, 12528 and 513, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 12528513 in words is "twelve million, five hundred twenty-eight thousand, five hundred thirteen".