3001042593 has 12 divisors (see below), whose sum is σ = 4377759828. Its totient is φ = 1980885600.

The previous prime is 3001042567. The next prime is 3001042613. The reversal of 3001042593 is 3952401003.

3001042593 is a `hidden beast` number, since 30 + 0 + 1 + 0 + 42 + 593 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1818851904 + 1182190689 = 42648^2 + 34383^2 .

It is not a de Polignac number, because 3001042593 - 2⁹ = 3001042081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3001042523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1649830 + ... + 1651647.

It is an arithmetic number, because the mean of its divisors is an integer number (364813319).

Almost surely, 2^3001042593 is an apocalyptic number.

It is an amenable number.

3001042593 is a deficient number, since it is larger than the sum of its proper divisors (1376717235).

3001042593 is a wasteful number, since it uses less digits than its factorization.

3001042593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301584 (or 3301581 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3001042593 is about 54781.7724521578. The cubic root of 3001042593 is about 1442.4166264350.

Adding to 3001042593 its reverse (3952401003), we get a palindrome (6953443596).

The spelling of 3001042593 in words is "three billion, one million, forty-two thousand, five hundred ninety-three".