517009240020 has 576 divisors, whose sum is σ = 1886866071552. Its totient is φ = 104727168000.

The previous prime is 517009239977. The next prime is 517009240037. The reversal of 517009240020 is 20042900715.

517009240020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 517009240020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155209755 + ... + 155213085.

It is an arithmetic number, because the mean of its divisors is an integer number (3275809152).

Almost surely, 2^517009240020 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 517009240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943433035776).

517009240020 is an abundant number, since it is smaller than the sum of its proper divisors (1369856831532).

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

517009240020 is a wasteful number, since it uses less digits than its factorization.

517009240020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 517009240020 in words is "five hundred seventeen billion, nine million, two hundred forty thousand, twenty".