2005350232513 has 4 divisors (see below), whose sum is σ = 2005363732420. Its totient is φ = 2005336732608.

The previous prime is 2005350232451. The next prime is 2005350232519. The reversal of 2005350232513 is 3152320535002.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 549039504784 + 1456310727729 = 740972^2 + 1206777^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2005350232513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005350232519) 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 3 ways as a sum of consecutive naturals, for example, 6524628 + ... + 6825061.

It is an arithmetic number, because the mean of its divisors is an integer number (501340933105).

Almost surely, 2^{2005350232513} is an apocalyptic number.

It is an amenable number.

2005350232513 is a deficient number, since it is larger than the sum of its proper divisors (13499907).

2005350232513 is a wasteful number, since it uses less digits than its factorization.

2005350232513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13499906.

The product of its (nonzero) digits is 27000, while the sum is 31.

Adding to 2005350232513 its reverse (3152320535002), we get a palindrome (5157670767515).

The spelling of 2005350232513 in words is "two trillion, five billion, three hundred fifty million, two hundred thirty-two thousand, five hundred thirteen".