4001513013 has 12 divisors (see below), whose sum is σ = 5799693900. Its totient is φ = 2658568896.

The previous prime is 4001512987. The next prime is 4001513017. The reversal of 4001513013 is 3103151004.

It can be written as a sum of positive squares in 2 ways, for example, as 2379195729 + 1622317284 = 48777^2 + 40278^2 .

It is not a de Polignac number, because 4001513013 - 2⁵ = 4001512981 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001513017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 756088 + ... + 761361.

It is an arithmetic number, because the mean of its divisors is an integer number (483307825).

Almost surely, 2^4001513013 is an apocalyptic number.

It is an amenable number.

4001513013 is a deficient number, since it is larger than the sum of its proper divisors (1798180887).

4001513013 is a wasteful number, since it uses less digits than its factorization.

4001513013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517748 (or 1517745 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 4001513013 is about 63257.5134904938. The cubic root of 4001513013 is about 1587.6011732738.

Adding to 4001513013 its reverse (3103151004), we get a palindrome (7104664017).

The spelling of 4001513013 in words is "four billion, one million, five hundred thirteen thousand, thirteen".