2005130000 has 50 divisors (see below), whose sum is σ = 4854644454. Its totient is φ = 802048000.

The previous prime is 2005129981. The next prime is 2005130063. The reversal of 2005130000 is 315002.

It can be written as a sum of positive squares in 5 ways, for example, as 1088736016 + 916393984 = 32996^2 + 30272^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 90257 + ... + 110256.

Almost surely, 2^2005130000 is an apocalyptic number.

2005130000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005130000 is an abundant number, since it is smaller than the sum of its proper divisors (2849514454).

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

2005130000 is an equidigital number, since it uses as much as digits as its factorization.

2005130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200541 (or 200520 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 2005130000 is about 44778.6779617264. The cubic root of 2005130000 is about 1260.9973626690.

Adding to 2005130000 its reverse (315002), we get a palindrome (2005445002).

The spelling of 2005130000 in words is "two billion, five million, one hundred thirty thousand".