2005004220513 has 8 divisors (see below), whose sum is σ = 3055244526528. Its totient is φ = 1145716697424.

The previous prime is 2005004220503. The next prime is 2005004220577. The reversal of 2005004220513 is 3150224005002.

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

It is not a de Polignac number, because 2005004220513 - 2¹⁴ = 2005004204129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2005004220503) 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, 47738195706 + ... + 47738195747.

It is an arithmetic number, because the mean of its divisors is an integer number (381905565816).

Almost surely, 2^{2005004220513} is an apocalyptic number.

It is an amenable number.

2005004220513 is a deficient number, since it is larger than the sum of its proper divisors (1050240306015).

2005004220513 is an equidigital number, since it uses as much as digits as its factorization.

2005004220513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95476391463.

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 2005004220513 its reverse (3150224005002), we get a palindrome (5155228225515).

The spelling of 2005004220513 in words is "two trillion, five billion, four million, two hundred twenty thousand, five hundred thirteen".