225131114538257 has 2 divisors, whose sum is σ = 225131114538258. Its totient is φ = 225131114538256.

The previous prime is 225131114538221. The next prime is 225131114538259. The reversal of 225131114538257 is 752835411131522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217702677072001 + 7428437466256 = 14754751^2 + 2725516^2 .

It is a cyclic number.

It is not a de Polignac number, because 225131114538257 - 2²⁴ = 225131097761041 is a prime.

Together with 225131114538259, 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 (225131114538259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112565557269128 + 112565557269129.

It is an arithmetic number, because the mean of its divisors is an integer number (112565557269129).

Almost surely, 2^{225131114538257} is an apocalyptic number.

It is an amenable number.

225131114538257 is a deficient number, since it is larger than the sum of its proper divisors (1).

225131114538257 is an equidigital number, since it uses as much as digits as its factorization.

225131114538257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016000, while the sum is 50.

Adding to 225131114538257 its reverse (752835411131522), we get a palindrome (977966525669779).

The spelling of 225131114538257 in words is "two hundred twenty-five trillion, one hundred thirty-one billion, one hundred fourteen million, five hundred thirty-eight thousand, two hundred fifty-seven".