517022016 has 168 divisors, whose sum is σ = 1612489536. Its totient is φ = 143216640.

The previous prime is 517021961. The next prime is 517022017. The reversal of 517022016 is 610220715.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517022017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1839796 + ... + 1840076.

It is an arithmetic number, because the mean of its divisors is an integer number (9598152).

Almost surely, 2^517022016 is an apocalyptic number.

517022016 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 517022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806244768).

517022016 is an abundant number, since it is smaller than the sum of its proper divisors (1095467520).

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

517022016 is a wasteful number, since it uses less digits than its factorization.

517022016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 517022016 is about 22738.1181279366. The cubic root of 517022016 is about 802.6071277101.

The spelling of 517022016 in words is "five hundred seventeen million, twenty-two thousand, sixteen".