2006000516520 has 384 divisors, whose sum is σ = 8753458371840. Its totient is φ = 384767262720.

The previous prime is 2006000516461. The next prime is 2006000516521. The reversal of 2006000516520 is 256150006002.

2006000516520 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 0 + 0 + 0 + 5 + 1 + 652 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2006000516521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2422969 + ... + 3143688.

It is an arithmetic number, because the mean of its divisors is an integer number (22795464510).

Almost surely, 2^{2006000516520} is an apocalyptic number.

2006000516520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2006000516520 is an abundant number, since it is smaller than the sum of its proper divisors (6747457855320).

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

2006000516520 is a wasteful number, since it uses less digits than its factorization.

2006000516520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5566705 (or 5566698 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 2006000516520 in words is "two trillion, six billion, five hundred sixteen thousand, five hundred twenty".