517241317261 has 8 divisors (see below), whose sum is σ = 532218420504. Its totient is φ = 502457467200.

The previous prime is 517241317141. The next prime is 517241317279. The reversal of 517241317261 is 162713142715.

It can be written as a sum of positive squares in 4 ways, for example, as 257135197225 + 260106120036 = 507085^2 + 510006^2 .

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 517241317261 - 2²⁵ = 517207762829 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 (517241317561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48307866 + ... + 48318571.

It is an arithmetic number, because the mean of its divisors is an integer number (66527302563).

Almost surely, 2^517241317261 is an apocalyptic number.

It is an amenable number.

517241317261 is a deficient number, since it is larger than the sum of its proper divisors (14977103243).

517241317261 is a wasteful number, since it uses less digits than its factorization.

517241317261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96626591.

The product of its digits is 70560, while the sum is 40.

Adding to 517241317261 its reverse (162713142715), we get a palindrome (679954459976).

The spelling of 517241317261 in words is "five hundred seventeen billion, two hundred forty-one million, three hundred seventeen thousand, two hundred sixty-one".