517425164256 has 1536 divisors, whose sum is σ = 2064772104192. Its totient is φ = 108934594560.

The previous prime is 517425164251. The next prime is 517425164257. The reversal of 517425164256 is 652461524715.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517425164251) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1765956046 + ... + 1765956338.

It is an arithmetic number, because the mean of its divisors is an integer number (1344252672).

Almost surely, 2^517425164256 is an apocalyptic number.

517425164256 is a gapful number since it is divisible by the number (56) 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 517425164256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032386052096).

517425164256 is an abundant number, since it is smaller than the sum of its proper divisors (1547346939936).

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

517425164256 is a wasteful number, since it uses less digits than its factorization.

517425164256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 416 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 48.

The spelling of 517425164256 in words is "five hundred seventeen billion, four hundred twenty-five million, one hundred sixty-four thousand, two hundred fifty-six".