517385402352 has 240 divisors, whose sum is σ = 1788742388160. Its totient is φ = 135945105408.

The previous prime is 517385402351. The next prime is 517385402363. The reversal of 517385402352 is 253204583715.

517385402352 is a `hidden beast` number, since 5 + 1 + 7 + 38 + 540 + 23 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 517385402298 and 517385402307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517385402351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3451588 + ... + 3598364.

It is an arithmetic number, because the mean of its divisors is an integer number (7453093284).

Almost surely, 2^517385402352 is an apocalyptic number.

517385402352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517385402352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894371194080).

517385402352 is an abundant number, since it is smaller than the sum of its proper divisors (1271356985808).

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

517385402352 is a wasteful number, since it uses less digits than its factorization.

517385402352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147080 (or 147071 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 517385402352 in words is "five hundred seventeen billion, three hundred eighty-five million, four hundred two thousand, three hundred fifty-two".