13008457 has 16 divisors (see below), whose sum is σ = 16308864. Its totient is φ = 10080000.

The previous prime is 13008449. The next prime is 13008461. The reversal of 13008457 is 75480031.

It is not a de Polignac number, because 13008457 - 2³ = 13008449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13008427) 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 in 15 ways as a sum of consecutive naturals, for example, 18207 + ... + 18907.

It is an arithmetic number, because the mean of its divisors is an integer number (1019304).

Almost surely, 2^13008457 is an apocalyptic number.

It is an amenable number.

13008457 is a deficient number, since it is larger than the sum of its proper divisors (3300407).

13008457 is a wasteful number, since it uses less digits than its factorization.

13008457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 13008457 is about 3606.7238596821. The cubic root of 13008457 is about 235.1844455079.

Adding to 13008457 its reverse (75480031), we get a palindrome (88488488).

The spelling of 13008457 in words is "thirteen million, eight thousand, four hundred fifty-seven".