13288753 has 2 divisors, whose sum is σ = 13288754. Its totient is φ = 13288752.

The previous prime is 13288741. The next prime is 13288777. The reversal of 13288753 is 35788231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6796449 + 6492304 = 2607^2 + 2548^2 .

It is a cyclic number.

It is not a de Polignac number, because 13288753 - 2⁵ = 13288721 is a prime.

It is not a weakly prime, because it can be changed into another prime (13288783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6644376 + 6644377.

It is an arithmetic number, because the mean of its divisors is an integer number (6644377).

Almost surely, 2^13288753 is an apocalyptic number.

It is an amenable number.

13288753 is a deficient number, since it is larger than the sum of its proper divisors (1).

13288753 is an equidigital number, since it uses as much as digits as its factorization.

13288753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40320, while the sum is 37.

The square root of 13288753 is about 3645.3741920412. The cubic root of 13288753 is about 236.8616460611.

It can be divided in two parts, 13288 and 753, that added together give a palindrome (14041).

The spelling of 13288753 in words is "thirteen million, two hundred eighty-eight thousand, seven hundred fifty-three".