225753157073417 has 2 divisors, whose sum is σ = 225753157073418. Its totient is φ = 225753157073416.

The previous prime is 225753157073329. The next prime is 225753157073503. The reversal of 225753157073417 is 714370751357522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131587947650041 + 94165209423376 = 11471179^2 + 9703876^2 .

It is a cyclic number.

It is not a de Polignac number, because 225753157073417 - 2¹⁶ = 225753157007881 is a prime.

It is a super-2 number, since 2×225753157073417² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (225753157063417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112876578536708 + 112876578536709.

It is an arithmetic number, because the mean of its divisors is an integer number (112876578536709).

Almost surely, 2^{225753157073417} is an apocalyptic number.

It is an amenable number.

225753157073417 is a deficient number, since it is larger than the sum of its proper divisors (1).

225753157073417 is an equidigital number, since it uses as much as digits as its factorization.

225753157073417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43218000, while the sum is 59.

The spelling of 225753157073417 in words is "two hundred twenty-five trillion, seven hundred fifty-three billion, one hundred fifty-seven million, seventy-three thousand, four hundred seventeen".