13057273 has 2 divisors, whose sum is σ = 13057274. Its totient is φ = 13057272.

The previous prime is 13057249. The next prime is 13057277. The reversal of 13057273 is 37275031.

13057273 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9715689 + 3341584 = 3117^2 + 1828^2 .

It is an emirp because it is prime and its reverse (37275031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13057273 - 2⁹ = 13056761 is a prime.

It is not a weakly prime, because it can be changed into another prime (13057277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6528636 + 6528637.

It is an arithmetic number, because the mean of its divisors is an integer number (6528637).

Almost surely, 2^13057273 is an apocalyptic number.

It is an amenable number.

13057273 is a deficient number, since it is larger than the sum of its proper divisors (1).

13057273 is an equidigital number, since it uses as much as digits as its factorization.

13057273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4410, while the sum is 28.

The square root of 13057273 is about 3613.4848830457. The cubic root of 13057273 is about 235.4782654620.

The spelling of 13057273 in words is "thirteen million, fifty-seven thousand, two hundred seventy-three".