12957013 has 2 divisors, whose sum is σ = 12957014. Its totient is φ = 12957012.

The previous prime is 12956953. The next prime is 12957019. The reversal of 12957013 is 31075921.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12517444 + 439569 = 3538^2 + 663^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12957013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12957019) 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, 6478506 + 6478507.

It is an arithmetic number, because the mean of its divisors is an integer number (6478507).

Almost surely, 2^12957013 is an apocalyptic number.

It is an amenable number.

12957013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12957013 is an equidigital number, since it uses as much as digits as its factorization.

12957013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 12957013 is about 3599.5851149820. The cubic root of 12957013 is about 234.8740112353.

The spelling of 12957013 in words is "twelve million, nine hundred fifty-seven thousand, thirteen".