516917952 has 168 divisors, whose sum is σ = 1575054000. Its totient is φ = 161630208.

The previous prime is 516917927. The next prime is 516917959. The reversal of 516917952 is 259719615.

It is a junction number, because it is equal to n+sod(n) for n = 516917898 and 516917907.

It is not an unprimeable number, because it can be changed into a prime (516917959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1630498 + ... + 1630814.

Almost surely, 2^516917952 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 516917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787527000).

516917952 is an abundant number, since it is smaller than the sum of its proper divisors (1058136048).

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

516917952 is a wasteful number, since it uses less digits than its factorization.

516917952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 490 counting only the distinct ones).

The product of its digits is 170100, while the sum is 45.

The square root of 516917952 is about 22735.8296967584. The cubic root of 516917952 is about 802.5532756432.

The spelling of 516917952 in words is "five hundred sixteen million, nine hundred seventeen thousand, nine hundred fifty-two".