413117517 has 12 divisors (see below), whose sum is σ = 564592640. Its totient is φ = 268691040.

The previous prime is 413117503. The next prime is 413117519. The reversal of 413117517 is 715711314.

It is not a de Polignac number, because 413117517 - 2⁷ = 413117389 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413117519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35917 + ... + 46002.

Almost surely, 2^413117517 is an apocalyptic number.

It is an amenable number.

413117517 is a deficient number, since it is larger than the sum of its proper divisors (151475123).

413117517 is an equidigital number, since it uses as much as digits as its factorization.

413117517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82004 (or 81963 counting only the distinct ones).

The product of its digits is 2940, while the sum is 30.

The square root of 413117517 is about 20325.2925440201. The cubic root of 413117517 is about 744.7740509636.

It can be divided in two parts, 41311 and 7517, that added together give a triangular number (48828 = T₃₁₂).

The spelling of 413117517 in words is "four hundred thirteen million, one hundred seventeen thousand, five hundred seventeen".