417537112609 has 2 divisors, whose sum is σ = 417537112610. Its totient is φ = 417537112608.

The previous prime is 417537112607. The next prime is 417537112621. The reversal of 417537112609 is 906211735714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 308861397009 + 108675715600 = 555753^2 + 329660^2 .

It is a cyclic number.

It is not a de Polignac number, because 417537112609 - 2¹ = 417537112607 is a prime.

Together with 417537112607, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (417537112607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208768556304 + 208768556305.

It is an arithmetic number, because the mean of its divisors is an integer number (208768556305).

Almost surely, 2^417537112609 is an apocalyptic number.

It is an amenable number.

417537112609 is a deficient number, since it is larger than the sum of its proper divisors (1).

417537112609 is an equidigital number, since it uses as much as digits as its factorization.

417537112609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 417537112609 in words is "four hundred seventeen billion, five hundred thirty-seven million, one hundred twelve thousand, six hundred nine".