13005457 has 2 divisors, whose sum is σ = 13005458. Its totient is φ = 13005456.

The previous prime is 13005449. The next prime is 13005491. The reversal of 13005457 is 75450031.

13005457 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12988816 + 16641 = 3604^2 + 129^2 .

It is a cyclic number.

It is not a de Polignac number, because 13005457 - 2³ = 13005449 is a prime.

It is not a weakly prime, because it can be changed into another prime (13005757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6502728 + 6502729.

It is an arithmetic number, because the mean of its divisors is an integer number (6502729).

Almost surely, 2^13005457 is an apocalyptic number.

It is an amenable number.

13005457 is a deficient number, since it is larger than the sum of its proper divisors (1).

13005457 is an equidigital number, since it uses as much as digits as its factorization.

13005457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 13005457 is about 3606.3079458083. The cubic root of 13005457 is about 235.1663647680.

Adding to 13005457 its reverse (75450031), we get a palindrome (88455488).

The spelling of 13005457 in words is "thirteen million, five thousand, four hundred fifty-seven".