717105806041 has 27 divisors (see below), whose sum is σ = 770508672759. Its totient is φ = 667267849728.

The previous prime is 717105806009. The next prime is 717105806051. The reversal of 717105806041 is 140608501717.

The square root of 717105806041 is 846821.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 10531069641 + 706574736400 = 102621^2 + 840580^2 .

It is not a de Polignac number, because 717105806041 - 2⁵ = 717105806009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 717105805985 and 717105806003.

It is not an unprimeable number, because it can be changed into a prime (717105806051) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1569159085 + ... + 1569159541.

Almost surely, 2^717105806041 is an apocalyptic number.

717105806041 is the 846821-st square number.

717105806041 is the 423411-st centered octagonal number.

It is an amenable number.

717105806041 is a deficient number, since it is larger than the sum of its proper divisors (53402866718).

717105806041 is an frugal number, since it uses more digits than its factorization.

717105806041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 40.

The spelling of 717105806041 in words is "seven hundred seventeen billion, one hundred five million, eight hundred six thousand, forty-one".