2005132965 has 16 divisors (see below), whose sum is σ = 3499868736. Its totient is φ = 972185600.

The previous prime is 2005132951. The next prime is 2005132967. The reversal of 2005132965 is 5692315002.

It is not a de Polignac number, because 2005132965 - 2⁵ = 2005132933 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005132967) 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, 6075996 + ... + 6076325.

It is an arithmetic number, because the mean of its divisors is an integer number (218741796).

Almost surely, 2^2005132965 is an apocalyptic number.

It is an amenable number.

2005132965 is a deficient number, since it is larger than the sum of its proper divisors (1494735771).

2005132965 is a wasteful number, since it uses less digits than its factorization.

2005132965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12152340.

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 2005132965 is about 44778.7110689890. The cubic root of 2005132965 is about 1260.9979842173.

Adding to 2005132965 its reverse (5692315002), we get a palindrome (7697447967).

The spelling of 2005132965 in words is "two billion, five million, one hundred thirty-two thousand, nine hundred sixty-five".