2005313004533 has 8 divisors (see below), whose sum is σ = 2048544684288. Its totient is φ = 1962104885104.

The previous prime is 2005313004437. The next prime is 2005313004559. The reversal of 2005313004533 is 3354003135002.

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-2005313004533 is a prime.

It is a super-2 number, since 2×2005313004533² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2005313004496 and 2005313004505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005313004593) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5717966 + ... + 6058527.

It is an arithmetic number, because the mean of its divisors is an integer number (256068085536).

Almost surely, 2^{2005313004533} is an apocalyptic number.

It is an amenable number.

2005313004533 is a deficient number, since it is larger than the sum of its proper divisors (43231679755).

2005313004533 is a wasteful number, since it uses less digits than its factorization.

2005313004533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11780163.

The product of its (nonzero) digits is 16200, while the sum is 29.

Adding to 2005313004533 its reverse (3354003135002), we get a palindrome (5359316139535).

The spelling of 2005313004533 in words is "two trillion, five billion, three hundred thirteen million, four thousand, five hundred thirty-three".