406687352017 has 2 divisors, whose sum is σ = 406687352018. Its totient is φ = 406687352016.

The previous prime is 406687351981. The next prime is 406687352033. The reversal of 406687352017 is 710253786604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 406124523841 + 562828176 = 637279^2 + 23724^2 .

It is a cyclic number.

It is not a de Polignac number, because 406687352017 - 2¹¹ = 406687349969 is a prime.

It is not a weakly prime, because it can be changed into another prime (406687352317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203343676008 + 203343676009.

It is an arithmetic number, because the mean of its divisors is an integer number (203343676009).

Almost surely, 2^406687352017 is an apocalyptic number.

It is an amenable number.

406687352017 is a deficient number, since it is larger than the sum of its proper divisors (1).

406687352017 is an equidigital number, since it uses as much as digits as its factorization.

406687352017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1693440, while the sum is 49.

The spelling of 406687352017 in words is "four hundred six billion, six hundred eighty-seven million, three hundred fifty-two thousand, seventeen".