506617716605 has 64 divisors (see below), whose sum is σ = 823886235648. Its totient is φ = 288795490560.

The previous prime is 506617716599. The next prime is 506617716617.

506617716605 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 506617716605 - 2¹⁶ = 506617651069 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62534 + ... + 1008536.

It is an arithmetic number, because the mean of its divisors is an integer number (12873222432).

Almost surely, 2^506617716605 is an apocalyptic number.

506617716605 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506617716605 is a deficient number, since it is larger than the sum of its proper divisors (317268519043).

506617716605 is a wasteful number, since it uses less digits than its factorization.

506617716605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946146.

The product of its (nonzero) digits is 1587600, while the sum is 50.

The spelling of 506617716605 in words is "five hundred six billion, six hundred seventeen million, seven hundred sixteen thousand, six hundred five".