12824513 has 8 divisors (see below), whose sum is σ = 14148456. Its totient is φ = 11548800.

The previous prime is 12824491. The next prime is 12824519. The reversal of 12824513 is 31542821.

It can be written as a sum of positive squares in 4 ways, for example, as 908209 + 11916304 = 953^2 + 3452^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12824513 - 2¹⁴ = 12808129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12824519) 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 7 ways as a sum of consecutive naturals, for example, 11498 + ... + 12563.

It is an arithmetic number, because the mean of its divisors is an integer number (1768557).

Almost surely, 2^12824513 is an apocalyptic number.

12824513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12824513 is a deficient number, since it is larger than the sum of its proper divisors (1323943).

12824513 is a wasteful number, since it uses less digits than its factorization.

12824513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24115.

The product of its digits is 1920, while the sum is 26.

The square root of 12824513 is about 3581.1329212974. The cubic root of 12824513 is about 234.0706497656.

The spelling of 12824513 in words is "twelve million, eight hundred twenty-four thousand, five hundred thirteen".