506121017072717 has 8 divisors (see below), whose sum is σ = 507030947551800. Its totient is φ = 505211091165184.

The previous prime is 506121017072689. The next prime is 506121017072761. The reversal of 506121017072717 is 717270710121605.

It can be written as a sum of positive squares in 4 ways, for example, as 171704490203236 + 334416526869481 = 13103606^2 + 18287059^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506121017072717 - 2⁴⁰ = 505021505444941 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 (506121017072117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284636909 + ... + 286409517.

It is an arithmetic number, because the mean of its divisors is an integer number (63378868443975).

Almost surely, 2^{506121017072717} is an apocalyptic number.

It is an amenable number.

506121017072717 is a deficient number, since it is larger than the sum of its proper divisors (909930479083).

506121017072717 is a wasteful number, since it uses less digits than its factorization.

506121017072717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285775.

The product of its (nonzero) digits is 288120, while the sum is 47.

The spelling of 506121017072717 in words is "five hundred six trillion, one hundred twenty-one billion, seventeen million, seventy-two thousand, seven hundred seventeen".