2008513500 has 192 divisors, whose sum is σ = 6725182464. Its totient is φ = 456288000.

The previous prime is 2008513487. The next prime is 2008513537. The reversal of 2008513500 is 53158002.

It is a congruent number.

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, 2068015 + ... + 2068985.

It is an arithmetic number, because the mean of its divisors is an integer number (35026992).

Almost surely, 2^2008513500 is an apocalyptic number.

2008513500 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 2008513500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362591232).

2008513500 is an abundant number, since it is smaller than the sum of its proper divisors (4716668964).

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

2008513500 is a wasteful number, since it uses less digits than its factorization.

2008513500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2008513500 is about 44816.4422952113. The cubic root of 2008513500 is about 1261.7062422231.

The spelling of 2008513500 in words is "two billion, eight million, five hundred thirteen thousand, five hundred".