13305953 has 2 divisors, whose sum is σ = 13305954. Its totient is φ = 13305952.

The previous prime is 13305899. The next prime is 13305961. The reversal of 13305953 is 35950331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9684544 + 3621409 = 3112^2 + 1903^2 .

It is a cyclic number.

It is not a de Polignac number, because 13305953 - 2⁸ = 13305697 is a prime.

It is not a weakly prime, because it can be changed into another prime (13305973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6652976 + 6652977.

It is an arithmetic number, because the mean of its divisors is an integer number (6652977).

Almost surely, 2^13305953 is an apocalyptic number.

It is an amenable number.

13305953 is a deficient number, since it is larger than the sum of its proper divisors (1).

13305953 is an equidigital number, since it uses as much as digits as its factorization.

13305953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6075, while the sum is 29.

The square root of 13305953 is about 3647.7325834003. The cubic root of 13305953 is about 236.9637941927.

The spelling of 13305953 in words is "thirteen million, three hundred five thousand, nine hundred fifty-three".