2005350251513 has 16 divisors (see below), whose sum is σ = 2339091120000. Its totient is φ = 1718511315696.

The previous prime is 2005350251473. The next prime is 2005350251573. The reversal of 2005350251513 is 3151520535002.

It is not a de Polignac number, because 2005350251513 - 2³⁶ = 1936630774777 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2005350251513.

It is not an unprimeable number, because it can be changed into a prime (2005350251573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1032218 + ... + 2253036.

It is an arithmetic number, because the mean of its divisors is an integer number (146193195000).

Almost surely, 2^{2005350251513} is an apocalyptic number.

It is an amenable number.

2005350251513 is a deficient number, since it is larger than the sum of its proper divisors (333740868487).

2005350251513 is an equidigital number, since it uses as much as digits as its factorization.

2005350251513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225629 (or 1225615 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

Adding to 2005350251513 its reverse (3151520535002), we get a palindrome (5156870786515).

The spelling of 2005350251513 in words is "two trillion, five billion, three hundred fifty million, two hundred fifty-one thousand, five hundred thirteen".