10386513 has 12 divisors (see below), whose sum is σ = 15209220. Its totient is φ = 6829056.

The previous prime is 10386511. The next prime is 10386517. The reversal of 10386513 is 31568301.

10386513 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 651 + 3 = 666.

10386513 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 2585664 + 7800849 = 1608^2 + 2793^2 .

It is not a de Polignac number, because 10386513 - 2¹ = 10386511 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10386511) 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 11 ways as a sum of consecutive naturals, for example, 7248 + ... + 8561.

It is an arithmetic number, because the mean of its divisors is an integer number (1267435).

Almost surely, 2^10386513 is an apocalyptic number.

It is an amenable number.

10386513 is a deficient number, since it is larger than the sum of its proper divisors (4822707).

10386513 is a wasteful number, since it uses less digits than its factorization.

10386513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15888 (or 15885 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10386513 is about 3222.8113503586. The cubic root of 10386513 is about 218.1841792832.

The spelling of 10386513 in words is "ten million, three hundred eighty-six thousand, five hundred thirteen".