13007257 has 2 divisors, whose sum is σ = 13007258. Its totient is φ = 13007256.

The previous prime is 13007249. The next prime is 13007273. The reversal of 13007257 is 75270031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10010896 + 2996361 = 3164^2 + 1731^2 .

It is a cyclic number.

It is not a de Polignac number, because 13007257 - 2³ = 13007249 is a prime.

It is not a weakly prime, because it can be changed into another prime (13007557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6503628 + 6503629.

It is an arithmetic number, because the mean of its divisors is an integer number (6503629).

Almost surely, 2^13007257 is an apocalyptic number.

It is an amenable number.

13007257 is a deficient number, since it is larger than the sum of its proper divisors (1).

13007257 is an equidigital number, since it uses as much as digits as its factorization.

13007257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 13007257 is about 3606.5574998882. The cubic root of 13007257 is about 235.1772135456.

Adding to 13007257 its reverse (75270031), we get a palindrome (88277288).

The spelling of 13007257 in words is "thirteen million, seven thousand, two hundred fifty-seven".