2003114516 has 24 divisors (see below), whose sum is σ = 3776388840. Its totient is φ = 924198912.

The previous prime is 2003114483. The next prime is 2003114543. The reversal of 2003114516 is 6154113002.

It can be written as a sum of positive squares in 4 ways, for example, as 27667600 + 1975446916 = 5260^2 + 44446^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2003114491 and 2003114500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224900 + ... + 233636.

It is an arithmetic number, because the mean of its divisors is an integer number (157349535).

Almost surely, 2^2003114516 is an apocalyptic number.

2003114516 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2003114516 is a deficient number, since it is larger than the sum of its proper divisors (1773274324).

2003114516 is a wasteful number, since it uses less digits than its factorization.

2003114516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13163 (or 13161 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 2003114516 is about 44756.1673515506. The cubic root of 2003114516 is about 1260.5747180803.

Adding to 2003114516 its reverse (6154113002), we get a palindrome (8157227518).

The spelling of 2003114516 in words is "two billion, three million, one hundred fourteen thousand, five hundred sixteen".