517421317565061 has 96 divisors (see below), whose sum is σ = 920578781041920. Its totient is φ = 272712385999872.

The previous prime is 517421317565011. The next prime is 517421317565069. The reversal of 517421317565061 is 160565713124715.

517421317565061 is a `hidden beast` number, since 5 + 1 + 7 + 4 + 2 + 1 + 3 + 17 + 565 + 0 + 61 = 666.

It is not a de Polignac number, because 517421317565061 - 2⁷ = 517421317564933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 517421317564989 and 517421317565007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517421317565069) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5560096150 + ... + 5560189208.

It is an arithmetic number, because the mean of its divisors is an integer number (9589362302520).

Almost surely, 2^{517421317565061} is an apocalyptic number.

It is an amenable number.

517421317565061 is a deficient number, since it is larger than the sum of its proper divisors (403157463476859).

517421317565061 is a wasteful number, since it uses less digits than its factorization.

517421317565061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98315 (or 98312 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 517421317565061 in words is "five hundred seventeen trillion, four hundred twenty-one billion, three hundred seventeen million, five hundred sixty-five thousand, sixty-one".