112500257 has 2 divisors, whose sum is σ = 112500258. Its totient is φ = 112500256.

The previous prime is 112500253. The next prime is 112500259. The reversal of 112500257 is 752005211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99221521 + 13278736 = 9961^2 + 3644^2 .

It is an emirp because it is prime and its reverse (752005211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112500257 - 2² = 112500253 is a prime.

Together with 112500259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (112500253) 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 as a sum of consecutive naturals, namely, 56250128 + 56250129.

It is an arithmetic number, because the mean of its divisors is an integer number (56250129).

Almost surely, 2^112500257 is an apocalyptic number.

It is an amenable number.

112500257 is a deficient number, since it is larger than the sum of its proper divisors (1).

112500257 is an equidigital number, since it uses as much as digits as its factorization.

112500257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 112500257 is about 10606.6138328875. The cubic root of 112500257 is about 482.7450599037.

Adding to 112500257 its reverse (752005211), we get a palindrome (864505468).

The spelling of 112500257 in words is "one hundred twelve million, five hundred thousand, two hundred fifty-seven".