12557257 has 2 divisors, whose sum is σ = 12557258. Its totient is φ = 12557256.

The previous prime is 12557239. The next prime is 12557291. The reversal of 12557257 is 75275521.

It is an a-pointer prime, because the next prime (12557291) can be obtained adding 12557257 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12222016 + 335241 = 3496^2 + 579^2 .

It is an emirp because it is prime and its reverse (75275521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12557257 - 2²³ = 4168649 is a prime.

It is a super-3 number, since 3×12557257³ (a number of 22 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12557227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6278628 + 6278629.

It is an arithmetic number, because the mean of its divisors is an integer number (6278629).

Almost surely, 2^12557257 is an apocalyptic number.

It is an amenable number.

12557257 is a deficient number, since it is larger than the sum of its proper divisors (1).

12557257 is an equidigital number, since it uses as much as digits as its factorization.

12557257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 24500, while the sum is 34.

The square root of 12557257 is about 3543.6220170893. The cubic root of 12557257 is about 232.4332532800.

The spelling of 12557257 in words is "twelve million, five hundred fifty-seven thousand, two hundred fifty-seven".