2004415413313 has 8 divisors (see below), whose sum is σ = 2148092664768. Its totient is φ = 1865448891504.

The previous prime is 2004415413307. The next prime is 2004415413361. The reversal of 2004415413313 is 3133145144002.

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 2004415413313 - 2¹⁷ = 2004415282241 is a prime.

It is a super-2 number, since 2×2004415413313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2004415413373) 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, 1177681531 + ... + 1177683232.

It is an arithmetic number, because the mean of its divisors is an integer number (268511583096).

Almost surely, 2^{2004415413313} is an apocalyptic number.

2004415413313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2004415413313 is a deficient number, since it is larger than the sum of its proper divisors (143677251455).

2004415413313 is a wasteful number, since it uses less digits than its factorization.

2004415413313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355364823.

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 2004415413313 in words is "two trillion, four billion, four hundred fifteen million, four hundred thirteen thousand, three hundred thirteen".