3005305313 has 8 divisors (see below), whose sum is σ = 3041953320. Its totient is φ = 2968773120.

The previous prime is 3005305309. The next prime is 3005305319. The reversal of 3005305313 is 3135035003.

It can be written as a sum of positive squares in 4 ways, for example, as 967956544 + 2037348769 = 31112^2 + 45137^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 3005305313 - 2² = 3005305309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3005305319) 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, 23843 + ... + 81111.

It is an arithmetic number, because the mean of its divisors is an integer number (380244165).

Almost surely, 2^3005305313 is an apocalyptic number.

It is an amenable number.

3005305313 is a deficient number, since it is larger than the sum of its proper divisors (36648007).

3005305313 is an equidigital number, since it uses as much as digits as its factorization.

3005305313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57907.

The product of its (nonzero) digits is 2025, while the sum is 23.

The square root of 3005305313 is about 54820.6650178562. The cubic root of 3005305313 is about 1443.0992457930.

The spelling of 3005305313 in words is "three billion, five million, three hundred five thousand, three hundred thirteen".