13008353 has 2 divisors, whose sum is σ = 13008354. Its totient is φ = 13008352.

The previous prime is 13008319. The next prime is 13008367. The reversal of 13008353 is 35380031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12730624 + 277729 = 3568^2 + 527^2 .

It is a cyclic number.

It is not a de Polignac number, because 13008353 - 2¹⁴ = 12991969 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13008253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6504176 + 6504177.

It is an arithmetic number, because the mean of its divisors is an integer number (6504177).

Almost surely, 2^13008353 is an apocalyptic number.

It is an amenable number.

13008353 is a deficient number, since it is larger than the sum of its proper divisors (1).

13008353 is an equidigital number, since it uses as much as digits as its factorization.

13008353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 13008353 is about 3606.7094421370. The cubic root of 13008353 is about 235.1838187554.

Adding to 13008353 its reverse (35380031), we get a palindrome (48388384).

The spelling of 13008353 in words is "thirteen million, eight thousand, three hundred fifty-three".