2005010852520 has 256 divisors, whose sum is σ = 6640257657600. Its totient is φ = 481174364160.

The previous prime is 2005010852519. The next prime is 2005010852549. The reversal of 2005010852520 is 252580105002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 100982914 + ... + 101002766.

It is an arithmetic number, because the mean of its divisors is an integer number (25938506475).

Almost surely, 2^{2005010852520} is an apocalyptic number.

2005010852520 is a gapful number since it is divisible by the number (20) 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 2005010852520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320128828800).

2005010852520 is an abundant number, since it is smaller than the sum of its proper divisors (4635246805080).

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

2005010852520 is a wasteful number, since it uses less digits than its factorization.

2005010852520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21500 (or 21496 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 2005010852520 its reverse (252580105002), we get a palindrome (2257590957522).

The spelling of 2005010852520 in words is "two trillion, five billion, ten million, eight hundred fifty-two thousand, five hundred twenty".