4003204013 has 12 divisors (see below), whose sum is σ = 4256688852. Its totient is φ = 3764044800.

The previous prime is 4003203929. The next prime is 4003204021. The reversal of 4003204013 is 3104023004.

It can be written as a sum of positive squares in 6 ways, for example, as 11744329 + 3991459684 = 3427^2 + 63178^2 .

It is not a de Polignac number, because 4003204013 - 2¹⁰ = 4003202989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4003203982 and 4003204000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003204613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316613 + ... + 329013.

It is an arithmetic number, because the mean of its divisors is an integer number (354724071).

Almost surely, 2^4003204013 is an apocalyptic number.

It is an amenable number.

4003204013 is a deficient number, since it is larger than the sum of its proper divisors (253484839).

4003204013 is a wasteful number, since it uses less digits than its factorization.

4003204013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13552 (or 13535 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 4003204013 is about 63270.8780798876. The cubic root of 4003204013 is about 1587.8247766539.

Adding to 4003204013 its reverse (3104023004), we get a palindrome (7107227017).

The spelling of 4003204013 in words is "four billion, three million, two hundred four thousand, thirteen".