516102006 has 48 divisors (see below), whose sum is σ = 1205164224. Its totient is φ = 146912976.

The previous prime is 516102001. The next prime is 516102007. The reversal of 516102006 is 600201615.

It is a happy number.

It is a super-2 number, since 2×516102006² = 532722561194448072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516102001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80101 + ... + 86303.

It is an arithmetic number, because the mean of its divisors is an integer number (25107588).

Almost surely, 2^516102006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516102006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602582112).

516102006 is an abundant number, since it is smaller than the sum of its proper divisors (689062218).

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

516102006 is a wasteful number, since it uses less digits than its factorization.

516102006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6505 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 516102006 is about 22717.8785541256. The cubic root of 516102006 is about 802.1307811344.

The spelling of 516102006 in words is "five hundred sixteen million, one hundred two thousand, six".