517421559312 has 320 divisors, whose sum is σ = 1830282854400. Its totient is φ = 136637383680.

The previous prime is 517421559301. The next prime is 517421559313. The reversal of 517421559312 is 213955124715.

517421559312 is a `hidden beast` number, since 5 + 1 + 7 + 42 + 1 + 5 + 593 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (517421559313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2245873 + ... + 2465519.

It is an arithmetic number, because the mean of its divisors is an integer number (5719633920).

Almost surely, 2^517421559312 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 517421559312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915141427200).

517421559312 is an abundant number, since it is smaller than the sum of its proper divisors (1312861295088).

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

517421559312 is a wasteful number, since it uses less digits than its factorization.

517421559312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219731 (or 219719 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The spelling of 517421559312 in words is "five hundred seventeen billion, four hundred twenty-one million, five hundred fifty-nine thousand, three hundred twelve".