2005332013 has 8 divisors (see below), whose sum is σ = 2028915000. Its totient is φ = 1981851648.

The previous prime is 2005331989. The next prime is 2005332037. The reversal of 2005332013 is 3102335002.

It is an interprime number because it is at equal distance from previous prime (2005331989) and next prime (2005332037).

It can be written as a sum of positive squares in 4 ways, for example, as 147549609 + 1857782404 = 12147^2 + 43102^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2005332013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005332083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14013 + ... + 64861.

It is an arithmetic number, because the mean of its divisors is an integer number (253614375).

Almost surely, 2^2005332013 is an apocalyptic number.

It is an amenable number.

2005332013 is a deficient number, since it is larger than the sum of its proper divisors (23582987).

2005332013 is a wasteful number, since it uses less digits than its factorization.

2005332013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51311.

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 2005332013 is about 44780.9335878563. The cubic root of 2005332013 is about 1261.0397089351.

Adding to 2005332013 its reverse (3102335002), we get a palindrome (5107667015).

The spelling of 2005332013 in words is "two billion, five million, three hundred thirty-two thousand, thirteen".