517134059520 has 1152 divisors, whose sum is σ = 2000444584320. Its totient is φ = 112963092480.

The previous prime is 517134059509. The next prime is 517134059531. The reversal of 517134059520 is 25950431715.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (517134059509) and next prime (517134059531).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2450872215 + ... + 2450872425.

It is an arithmetic number, because the mean of its divisors is an integer number (1736497035).

Almost surely, 2^517134059520 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 517134059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000222292160).

517134059520 is an abundant number, since it is smaller than the sum of its proper divisors (1483310524800).

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

517134059520 is a wasteful number, since it uses less digits than its factorization.

517134059520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 42.

The spelling of 517134059520 in words is "five hundred seventeen billion, one hundred thirty-four million, fifty-nine thousand, five hundred twenty".