13123577 has 2 divisors, whose sum is σ = 13123578. Its totient is φ = 13123576.

The previous prime is 13123531. The next prime is 13123589. The reversal of 13123577 is 77532131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6677056 + 6446521 = 2584^2 + 2539^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123577 - 2²⁰ = 12075001 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13123597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561788 + 6561789.

It is an arithmetic number, because the mean of its divisors is an integer number (6561789).

Almost surely, 2^13123577 is an apocalyptic number.

It is an amenable number.

13123577 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123577 is an equidigital number, since it uses as much as digits as its factorization.

13123577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4410, while the sum is 29.

The square root of 13123577 is about 3622.6477885657. The cubic root of 13123577 is about 235.8761739096.

The spelling of 13123577 in words is "thirteen million, one hundred twenty-three thousand, five hundred seventy-seven".