2004230032513 has 2 divisors, whose sum is σ = 2004230032514. Its totient is φ = 2004230032512.

The previous prime is 2004230032349. The next prime is 2004230032517. The reversal of 2004230032513 is 3152300324002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1710045289969 + 294184742544 = 1307687^2 + 542388^2 .

It is a cyclic number.

It is not a de Polignac number, because 2004230032513 - 2⁹ = 2004230032001 is a prime.

It is a super-2 number, since 2×2004230032513² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2004230032517) 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 as a sum of consecutive naturals, namely, 1002115016256 + 1002115016257.

It is an arithmetic number, because the mean of its divisors is an integer number (1002115016257).

Almost surely, 2^{2004230032513} is an apocalyptic number.

It is an amenable number.

2004230032513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004230032513 is an equidigital number, since it uses as much as digits as its factorization.

2004230032513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 2004230032513 its reverse (3152300324002), we get a palindrome (5156530356515).

The spelling of 2004230032513 in words is "two trillion, four billion, two hundred thirty million, thirty-two thousand, five hundred thirteen".