13000457 has 2 divisors, whose sum is σ = 13000458. Its totient is φ = 13000456.

The previous prime is 13000411. The next prime is 13000469. The reversal of 13000457 is 75400031.

It is a happy number.

13000457 is digitally balanced in base 2, 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., 7529536 + 5470921 = 2744^2 + 2339^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000457 - 2⁸ = 13000201 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13000657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500228 + 6500229.

It is an arithmetic number, because the mean of its divisors is an integer number (6500229).

Almost surely, 2^13000457 is an apocalyptic number.

It is an amenable number.

13000457 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000457 is an equidigital number, since it uses as much as digits as its factorization.

13000457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 13000457 is about 3605.6146494045. The cubic root of 13000457 is about 235.1362240217.

Adding to 13000457 its reverse (75400031), we get a palindrome (88400488).

The spelling of 13000457 in words is "thirteen million, four hundred fifty-seven", and thus it is an aban number.