517451628416 has 64 divisors (see below), whose sum is σ = 1050848406720. Its totient is φ = 253714286592.

The previous prime is 517451628409. The next prime is 517451628431. The reversal of 517451628416 is 614826154715.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13976906 + ... + 14013878.

It is an arithmetic number, because the mean of its divisors is an integer number (16419506355).

Almost surely, 2^517451628416 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 517451628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525424203360).

517451628416 is an abundant number, since it is smaller than the sum of its proper divisors (533396778304).

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

517451628416 is a wasteful number, since it uses less digits than its factorization.

517451628416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39103 (or 39091 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 50.

The spelling of 517451628416 in words is "five hundred seventeen billion, four hundred fifty-one million, six hundred twenty-eight thousand, four hundred sixteen".