10788013 has 8 divisors (see below), whose sum is σ = 11580408. Its totient is φ = 10013184.

The previous prime is 10787999. The next prime is 10788017. The reversal of 10788013 is 31088701.

10788013 = 2322² + 2323².

It is a happy number.

10788013 is digitally balanced in base 2, 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 4 ways, for example, as 915849 + 9872164 = 957^2 + 3142^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10788013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10788017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3106 + ... + 5587.

It is an arithmetic number, because the mean of its divisors is an integer number (1447551).

Almost surely, 2^10788013 is an apocalyptic number.

10788013 is the 2323-rd centered square number.

It is an amenable number.

10788013 is a deficient number, since it is larger than the sum of its proper divisors (792395).

10788013 is an equidigital number, since it uses as much as digits as its factorization.

10788013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8783.

The product of its (nonzero) digits is 1344, while the sum is 28.

The square root of 10788013 is about 3284.5110747263. The cubic root of 10788013 is about 220.9600809672.

The spelling of 10788013 in words is "ten million, seven hundred eighty-eight thousand, thirteen".