3603001516013 has 2 divisors, whose sum is σ = 3603001516014. Its totient is φ = 3603001516012.

The previous prime is 3603001516001. The next prime is 3603001516027. The reversal of 3603001516013 is 3106151003063.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2003249591044 + 1599751924969 = 1415362^2 + 1264813^2 .

It is a cyclic number.

It is not a de Polignac number, because 3603001516013 - 2¹⁰ = 3603001514989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3603001516813) 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 as a sum of consecutive naturals, namely, 1801500758006 + 1801500758007.

It is an arithmetic number, because the mean of its divisors is an integer number (1801500758007).

Almost surely, 2^{3603001516013} is an apocalyptic number.

It is an amenable number.

3603001516013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3603001516013 is an equidigital number, since it uses as much as digits as its factorization.

3603001516013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 29.

Adding to 3603001516013 its reverse (3106151003063), we get a palindrome (6709152519076).

The spelling of 3603001516013 in words is "three trillion, six hundred three billion, one million, five hundred sixteen thousand, thirteen".