2005153032 has 64 divisors (see below), whose sum is σ = 5258908800. Its totient is φ = 636231680.

The previous prime is 2005153027. The next prime is 2005153039. The reversal of 2005153032 is 2303515002.

It is not an unprimeable number, because it can be changed into a prime (2005153039) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29128 + ... + 69704.

It is an arithmetic number, because the mean of its divisors is an integer number (82170450).

Almost surely, 2^2005153032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005153032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629454400).

2005153032 is an abundant number, since it is smaller than the sum of its proper divisors (3253755768).

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

2005153032 is a wasteful number, since it uses less digits than its factorization.

2005153032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40686 (or 40682 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 2005153032 is about 44778.9351369592. The cubic root of 2005153032 is about 1261.0021908148.

Adding to 2005153032 its reverse (2303515002), we get a palindrome (4308668034).

The spelling of 2005153032 in words is "two billion, five million, one hundred fifty-three thousand, thirty-two".