2005331523 has 16 divisors (see below), whose sum is σ = 2896498080. Its totient is φ = 1234046112.

The previous prime is 2005331483. The next prime is 2005331569. The reversal of 2005331523 is 3251335002.

It is a happy number.

It is not a de Polignac number, because 2005331523 - 2¹⁷ = 2005200451 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2005331493 and 2005331502.

It is not an unprimeable number, because it can be changed into a prime (2005331323) 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, 145536 + ... + 158717.

It is an arithmetic number, because the mean of its divisors is an integer number (181031130).

Almost surely, 2^2005331523 is an apocalyptic number.

2005331523 is a deficient number, since it is larger than the sum of its proper divisors (891166557).

2005331523 is an equidigital number, since it uses as much as digits as its factorization.

2005331523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304295 (or 304269 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 2005331523 is about 44780.9281167776. The cubic root of 2005331523 is about 1261.0396062240.

Adding to 2005331523 its reverse (3251335002), we get a palindrome (5256666525).

The spelling of 2005331523 in words is "two billion, five million, three hundred thirty-one thousand, five hundred twenty-three".