2003815632516 has 12 divisors (see below), whose sum is σ = 4675569809232. Its totient is φ = 667938544168.

The previous prime is 2003815632491. The next prime is 2003815632517. The reversal of 2003815632516 is 6152365183002.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (2003815632517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83492318010 + ... + 83492318033.

It is an arithmetic number, because the mean of its divisors is an integer number (389630817436).

Almost surely, 2^{2003815632516} is an apocalyptic number.

It is an amenable number.

2003815632516 is an abundant number, since it is smaller than the sum of its proper divisors (2671754176716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2003815632516 is a wasteful number, since it uses less digits than its factorization.

2003815632516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166984636050 (or 166984636048 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 2003815632516 in words is "two trillion, three billion, eight hundred fifteen million, six hundred thirty-two thousand, five hundred sixteen".