2005132523 has 8 divisors (see below), whose sum is σ = 2046658560. Its totient is φ = 1963857960.

The previous prime is 2005132489. The next prime is 2005132553. The reversal of 2005132523 is 3252315002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2005132523 - 2³⁰ = 931390699 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005132553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46715 + ... + 78692.

It is an arithmetic number, because the mean of its divisors is an integer number (255832320).

Almost surely, 2^2005132523 is an apocalyptic number.

2005132523 is a deficient number, since it is larger than the sum of its proper divisors (41526037).

2005132523 is a wasteful number, since it uses less digits than its factorization.

2005132523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125737.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 2005132523 is about 44778.7061336077. The cubic root of 2005132523 is about 1260.9978915615.

Adding to 2005132523 its reverse (3252315002), we get a palindrome (5257447525).

The spelling of 2005132523 in words is "two billion, five million, one hundred thirty-two thousand, five hundred twenty-three".