11638013 has 16 divisors (see below), whose sum is σ = 13115520. Its totient is φ = 10262016.

The previous prime is 11638001. The next prime is 11638027. The reversal of 11638013 is 31083611.

11638013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11638013 - 2⁶ = 11637949 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11638013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11638213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44120 + ... + 44382.

It is an arithmetic number, because the mean of its divisors is an integer number (819720).

Almost surely, 2^11638013 is an apocalyptic number.

It is an amenable number.

11638013 is a deficient number, since it is larger than the sum of its proper divisors (1477507).

11638013 is a wasteful number, since it uses less digits than its factorization.

11638013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 11638013 is about 3411.4532094109. The cubic root of 11638013 is about 226.6172400399.

It can be divided in two parts, 1163801 and 3, that multiplied together give a triangular number (3491403 = T₂₆₄₂).

The spelling of 11638013 in words is "eleven million, six hundred thirty-eight thousand, thirteen".