2005132052 has 48 divisors (see below), whose sum is σ = 4384074240. Its totient is φ = 779570400.

The previous prime is 2005132033. The next prime is 2005132057. The reversal of 2005132052 is 2502315002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005132057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144599 + ... + 157857.

It is an arithmetic number, because the mean of its divisors is an integer number (91334880).

Almost surely, 2^2005132052 is an apocalyptic number.

2005132052 is a gapful number since it is divisible by the number (22) 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 2005132052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192037120).

2005132052 is an abundant number, since it is smaller than the sum of its proper divisors (2378942188).

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

2005132052 is a wasteful number, since it uses less digits than its factorization.

2005132052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13772 (or 13770 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2005132052 is about 44778.7008744113. The cubic root of 2005132052 is about 1260.9977928266.

Adding to 2005132052 its reverse (2502315002), we get a palindrome (4507447054).

The spelling of 2005132052 in words is "two billion, five million, one hundred thirty-two thousand, fifty-two".