4013000413 has 8 divisors (see below), whose sum is σ = 4129020896. Its totient is φ = 3898011600.

The previous prime is 4013000363. The next prime is 4013000441. The reversal of 4013000413 is 3140003104.

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-4013000413 is a prime.

It is a super-3 number, since 3×4013000413³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013000213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250023 + ... + 265588.

It is an arithmetic number, because the mean of its divisors is an integer number (516127612).

Almost surely, 2^4013000413 is an apocalyptic number.

4013000413 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

4013000413 is a deficient number, since it is larger than the sum of its proper divisors (116020483).

4013000413 is a wasteful number, since it uses less digits than its factorization.

4013000413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515835.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4013000413 is about 63348.2471186062. The cubic root of 4013000413 is about 1589.1189313211.

Adding to 4013000413 its reverse (3140003104), we get a palindrome (7153003517).

The spelling of 4013000413 in words is "four billion, thirteen million, four hundred thirteen", and thus it is an aban number.