517235564412 has 480 divisors, whose sum is σ = 1660334772096. Its totient is φ = 137056665600.

The previous prime is 517235564401. The next prime is 517235564413. The reversal of 517235564412 is 214465532715.

517235564412 is a `hidden beast` number, since 5 + 1 + 72 + 3 + 5 + 564 + 4 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517235564413) 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 159 ways as a sum of consecutive naturals, for example, 956072862 + ... + 956073402.

Almost surely, 2^517235564412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517235564412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830167386048).

517235564412 is an abundant number, since it is smaller than the sum of its proper divisors (1143099207684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

517235564412 is a wasteful number, since it uses less digits than its factorization.

517235564412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 888 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 517235564412 in words is "five hundred seventeen billion, two hundred thirty-five million, five hundred sixty-four thousand, four hundred twelve".