517040528441472 has 640 divisors, whose sum is σ = 1819834523210880. Its totient is φ = 142635976704000.

The previous prime is 517040528441443. The next prime is 517040528441543. The reversal of 517040528441472 is 274144825040715.

517040528441472 is a `hidden beast` number, since 5 + 1 + 7 + 0 + 4 + 0 + 52 + 84 + 41 + 472 = 666.

It is a super-2 number, since 2×517040528441472² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 351040972 + ... + 352510772.

It is an arithmetic number, because the mean of its divisors is an integer number (2843491442517).

Almost surely, 2^{517040528441472} 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 517040528441472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909917261605440).

517040528441472 is an abundant number, since it is smaller than the sum of its proper divisors (1302793994769408).

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

517040528441472 is a wasteful number, since it uses less digits than its factorization.

517040528441472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470002 (or 1469981 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 54.

The spelling of 517040528441472 in words is "five hundred seventeen trillion, forty billion, five hundred twenty-eight million, four hundred forty-one thousand, four hundred seventy-two".