417088000001 has 2 divisors, whose sum is σ = 417088000002. Its totient is φ = 417088000000.

The previous prime is 417087999997. The next prime is 417088000037. The reversal of 417088000001 is 100000880714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 267164934400 + 149923065601 = 516880^2 + 387199^2 .

It is a cyclic number.

It is not a de Polignac number, because 417088000001 - 2² = 417087999997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (417088003001) 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, 208544000000 + 208544000001.

It is an arithmetic number, because the mean of its divisors is an integer number (208544000001).

Almost surely, 2^417088000001 is an apocalyptic number.

It is an amenable number.

417088000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

417088000001 is an equidigital number, since it uses as much as digits as its factorization.

417088000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1792, while the sum is 29.

Adding to 417088000001 its reverse (100000880714), we get a palindrome (517088880715).

The spelling of 417088000001 in words is "four hundred seventeen billion, eighty-eight million, one", and thus it is an aban number.