13014257 has 2 divisors, whose sum is σ = 13014258. Its totient is φ = 13014256.

The previous prime is 13014247. The next prime is 13014263. The reversal of 13014257 is 75241031.

13014257 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., 8014561 + 4999696 = 2831^2 + 2236^2 .

It is a cyclic number.

It is not a de Polignac number, because 13014257 - 2⁶ = 13014193 is a prime.

It is a Chen prime.

It is equal to p₈₅₀₁₂₇ and since 13014257 and 850127 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (13014247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6507128 + 6507129.

It is an arithmetic number, because the mean of its divisors is an integer number (6507129).

Almost surely, 2^13014257 is an apocalyptic number.

It is an amenable number.

13014257 is a deficient number, since it is larger than the sum of its proper divisors (1).

13014257 is an equidigital number, since it uses as much as digits as its factorization.

13014257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 13014257 is about 3607.5278238705. The cubic root of 13014257 is about 235.2193937241.

Adding to 13014257 its reverse (75241031), we get a palindrome (88255288).

The spelling of 13014257 in words is "thirteen million, fourteen thousand, two hundred fifty-seven".