2005403013 has 18 divisors (see below), whose sum is σ = 3057179814. Its totient is φ = 1266568272.

The previous prime is 2005402969. The next prime is 2005403033. The reversal of 2005403013 is 3103045002.

It can be written as a sum of positive squares in only one way, i.e., 1173542049 + 831860964 = 34257^2 + 28842^2 .

It is not a de Polignac number, because 2005403013 - 2¹³ = 2005394821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005403033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 305370 + ... + 311867.

It is an arithmetic number, because the mean of its divisors is an integer number (169843323).

Almost surely, 2^2005403013 is an apocalyptic number.

It is an amenable number.

2005403013 is a deficient number, since it is larger than the sum of its proper divisors (1051776801).

2005403013 is a wasteful number, since it uses less digits than its factorization.

2005403013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617281 (or 617259 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2005403013 is about 44781.7263289391. The cubic root of 2005403013 is about 1261.0545913855.

Adding to 2005403013 its reverse (3103045002), we get a palindrome (5108448015).

The spelling of 2005403013 in words is "two billion, five million, four hundred three thousand, thirteen".