12577813 has 2 divisors, whose sum is σ = 12577814. Its totient is φ = 12577812.

The previous prime is 12577787. The next prime is 12577819. The reversal of 12577813 is 31877521.

12577813 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., 12552849 + 24964 = 3543^2 + 158^2 .

It is a cyclic number.

It is not a de Polignac number, because 12577813 - 2⁵ = 12577781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12577819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6288906 + 6288907.

It is an arithmetic number, because the mean of its divisors is an integer number (6288907).

Almost surely, 2^12577813 is an apocalyptic number.

It is an amenable number.

12577813 is a deficient number, since it is larger than the sum of its proper divisors (1).

12577813 is an equidigital number, since it uses as much as digits as its factorization.

12577813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11760, while the sum is 34.

The square root of 12577813 is about 3546.5212532847. The cubic root of 12577813 is about 232.5600137982.

The spelling of 12577813 in words is "twelve million, five hundred seventy-seven thousand, eight hundred thirteen".