3001135305 has 32 divisors (see below), whose sum is σ = 5636116224. Its totient is φ = 1334866176.

The previous prime is 3001135303. The next prime is 3001135351. The reversal of 3001135305 is 5035311003.

It is a happy number.

It is not a de Polignac number, because 3001135305 - 2¹ = 3001135303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3001135303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382362 + ... + 390131.

It is an arithmetic number, because the mean of its divisors is an integer number (176128632).

Almost surely, 2^3001135305 is an apocalyptic number.

3001135305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3001135305 is a deficient number, since it is larger than the sum of its proper divisors (2634980919).

3001135305 is a wasteful number, since it uses less digits than its factorization.

3001135305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772545.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 3001135305 is about 54782.6186394919. The cubic root of 3001135305 is about 1442.4314799344.

Adding to 3001135305 its reverse (5035311003), we get a palindrome (8036446308).

The spelling of 3001135305 in words is "three billion, one million, one hundred thirty-five thousand, three hundred five".