225600257 has 2 divisors, whose sum is σ = 225600258. Its totient is φ = 225600256.

The previous prime is 225600241. The next prime is 225600259. The reversal of 225600257 is 752006522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205520896 + 20079361 = 14336^2 + 4481^2 .

It is a cyclic number.

It is not a de Polignac number, because 225600257 - 2⁴ = 225600241 is a prime.

Together with 225600259, 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 (225600259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112800128 + 112800129.

It is an arithmetic number, because the mean of its divisors is an integer number (112800129).

Almost surely, 2^225600257 is an apocalyptic number.

It is an amenable number.

225600257 is a deficient number, since it is larger than the sum of its proper divisors (1).

225600257 is an equidigital number, since it uses as much as digits as its factorization.

225600257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 225600257 is about 15019.9952396797. The cubic root of 225600257 is about 608.7605910397.

Adding to 225600257 its reverse (752006522), we get a palindrome (977606779).

The spelling of 225600257 in words is "two hundred twenty-five million, six hundred thousand, two hundred fifty-seven".