517021514112 has 128 divisors (see below), whose sum is σ = 1424645913600. Its totient is φ = 166008360960.

The previous prime is 517021514111. The next prime is 517021514137. The reversal of 517021514112 is 211415120715.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×517021514112² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 517021514112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517021514111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1035933 + ... + 1451619.

It is an arithmetic number, because the mean of its divisors is an integer number (11130046200).

Almost surely, 2^517021514112 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 517021514112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712322956800).

517021514112 is an abundant number, since it is smaller than the sum of its proper divisors (907624399488).

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

517021514112 is a wasteful number, since it uses less digits than its factorization.

517021514112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415824 (or 415812 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 30.

Adding to 517021514112 its reverse (211415120715), we get a palindrome (728436634827).

The spelling of 517021514112 in words is "five hundred seventeen billion, twenty-one million, five hundred fourteen thousand, one hundred twelve".