516003345 has 64 divisors (see below), whose sum is σ = 1077753600. Its totient is φ = 230929920.

The previous prime is 516003337. The next prime is 516003359. The reversal of 516003345 is 543300615.

516003345 is a `hidden beast` number, since 51 + 600 + 3 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 516003345 - 2³ = 516003337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5941 + ... + 32669.

It is an arithmetic number, because the mean of its divisors is an integer number (16839900).

Almost surely, 2^516003345 is an apocalyptic number.

516003345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

516003345 is an abundant number, since it is smaller than the sum of its proper divisors (561750255).

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

516003345 is a wasteful number, since it uses less digits than its factorization.

516003345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26767 (or 26761 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 516003345 is about 22715.7070107888. The cubic root of 516003345 is about 802.0796645802.

It can be divided in two parts, 5160033 and 45, that added together give a triangular number (5160078 = T₃₂₁₂).

The spelling of 516003345 in words is "five hundred sixteen million, three thousand, three hundred forty-five".