516706506 has 64 divisors (see below), whose sum is σ = 1167696000. Its totient is φ = 169344000.

The previous prime is 516706471. The next prime is 516706511. The reversal of 516706506 is 605607615.

It is a happy number.

It is a super-2 number, since 2×516706506² = 533971226685456072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1150570 + ... + 1151018.

It is an arithmetic number, because the mean of its divisors is an integer number (18245250).

Almost surely, 2^516706506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516706506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583848000).

516706506 is an abundant number, since it is smaller than the sum of its proper divisors (650989494).

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

516706506 is a wasteful number, since it uses less digits than its factorization.

516706506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 516706506 is about 22731.1791599116. The cubic root of 516706506 is about 802.4438322117.

The spelling of 516706506 in words is "five hundred sixteen million, seven hundred six thousand, five hundred six".