2503323004013 has 32 divisors (see below), whose sum is σ = 2838330939360. Its totient is φ = 2191589084160.

The previous prime is 2503323003991. The next prime is 2503323004033. The reversal of 2503323004013 is 3104003233052.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2070657684484 + 432665319529 = 1438978^2 + 657773^2 .

It is a cyclic number.

It is not a de Polignac number, because 2503323004013 - 2³⁰ = 2502249262189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2503323004033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17336831 + ... + 17480627.

It is an arithmetic number, because the mean of its divisors is an integer number (88697841855).

Almost surely, 2^{2503323004013} is an apocalyptic number.

It is an amenable number.

2503323004013 is a deficient number, since it is larger than the sum of its proper divisors (335007935347).

2503323004013 is a wasteful number, since it uses less digits than its factorization.

2503323004013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144657.

The product of its (nonzero) digits is 6480, while the sum is 26.

Adding to 2503323004013 its reverse (3104003233052), we get a palindrome (5607326237065).

The spelling of 2503323004013 in words is "two trillion, five hundred three billion, three hundred twenty-three million, four thousand, thirteen".