2005813530000 has 1500 divisors, whose sum is σ = 8542196006652. Its totient is φ = 452874240000.

The previous prime is 2005813529971. The next prime is 2005813530047. The reversal of 2005813530000 is 353185002.

2005813530000 is a `hidden beast` number, since 20 + 0 + 581 + 35 + 30 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 1748995670016 + 256817859984 = 1322496^2 + 506772^2 .

It is a tau number, because it is divible by the number of its divisors (1500).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 3849929740 + ... + 3849930260.

Almost surely, 2^{2005813530000} is an apocalyptic number.

2005813530000 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 2005813530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271098003326).

2005813530000 is an abundant number, since it is smaller than the sum of its proper divisors (6536382476652).

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

2005813530000 is an equidigital number, since it uses as much as digits as its factorization.

2005813530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 635 counting only the distinct ones).

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

The spelling of 2005813530000 in words is "two trillion, five billion, eight hundred thirteen million, five hundred thirty thousand".