506516105 has 16 divisors (see below), whose sum is σ = 644112000. Its totient is φ = 381057792.

The previous prime is 506516089. The next prime is 506516141. The reversal of 506516105 is 501615605.

It is a cyclic number.

It is not a de Polignac number, because 506516105 - 2⁴ = 506516089 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 167396 + ... + 170394.

It is an arithmetic number, because the mean of its divisors is an integer number (40257000).

Almost surely, 2^506516105 is an apocalyptic number.

It is an amenable number.

506516105 is a deficient number, since it is larger than the sum of its proper divisors (137595895).

506516105 is a wasteful number, since it uses less digits than its factorization.

506516105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008.

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 506516105 is about 22505.9126675636. The cubic root of 506516105 is about 797.1335462580.

The spelling of 506516105 in words is "five hundred six million, five hundred sixteen thousand, one hundred five".