506800071 has 32 divisors (see below), whose sum is σ = 768241600. Its totient is φ = 334243584.

The previous prime is 506800037. The next prime is 506800097. The reversal of 506800071 is 170008605.

It is not a de Polignac number, because 506800071 - 2¹⁰ = 506799047 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506800571) 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 31 ways as a sum of consecutive naturals, for example, 210945 + ... + 213333.

It is an arithmetic number, because the mean of its divisors is an integer number (24007550).

Almost surely, 2^506800071 is an apocalyptic number.

506800071 is a deficient number, since it is larger than the sum of its proper divisors (261441529).

506800071 is an frugal number, since it uses more digits than its factorization.

506800071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 506800071 is about 22512.2204813297. The cubic root of 506800071 is about 797.2824829747.

Adding to 506800071 its reverse (170008605), we get a palindrome (676808676).

The spelling of 506800071 in words is "five hundred six million, eight hundred thousand, seventy-one".