2005413152 has 24 divisors (see below), whose sum is σ = 4022654076. Its totient is φ = 983786752.

The previous prime is 2005413077. The next prime is 2005413167. The reversal of 2005413152 is 2513145002.

It can be written as a sum of positive squares in 2 ways, for example, as 1911788176 + 93624976 = 43724^2 + 9676^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 589523 + ... + 592914.

Almost surely, 2^2005413152 is an apocalyptic number.

It is an amenable number.

2005413152 is an abundant number, since it is smaller than the sum of its proper divisors (2017240924).

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

2005413152 is a wasteful number, since it uses less digits than its factorization.

2005413152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182500 (or 1182492 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 2005413152 is about 44781.8395334537. The cubic root of 2005413152 is about 1261.0567166127.

Adding to 2005413152 its reverse (2513145002), we get a palindrome (4518558154).

The spelling of 2005413152 in words is "two billion, five million, four hundred thirteen thousand, one hundred fifty-two".