417125257 has 2 divisors, whose sum is σ = 417125258. Its totient is φ = 417125256.

The previous prime is 417125201. The next prime is 417125273. The reversal of 417125257 is 752521714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 349540416 + 67584841 = 18696^2 + 8221^2 .

It is a cyclic number.

It is not a de Polignac number, because 417125257 - 2¹¹ = 417123209 is a prime.

It is not a weakly prime, because it can be changed into another prime (417125287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208562628 + 208562629.

It is an arithmetic number, because the mean of its divisors is an integer number (208562629).

Almost surely, 2^417125257 is an apocalyptic number.

It is an amenable number.

417125257 is a deficient number, since it is larger than the sum of its proper divisors (1).

417125257 is an equidigital number, since it uses as much as digits as its factorization.

417125257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19600, while the sum is 34.

The square root of 417125257 is about 20423.6445572283. The cubic root of 417125257 is about 747.1747078112.

The spelling of 417125257 in words is "four hundred seventeen million, one hundred twenty-five thousand, two hundred fifty-seven".