506806516 has 24 divisors (see below), whose sum is σ = 944293896. Its totient is φ = 237173760.

The previous prime is 506806493. The next prime is 506806529. The reversal of 506806516 is 615608605.

It can be written as a sum of positive squares in 4 ways, for example, as 2624400 + 504182116 = 1620^2 + 22454^2 .

506806516 is a modest number, since divided by 6516 gives 5068 as remainder.

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, 8281 + ... + 32896.

It is an arithmetic number, because the mean of its divisors is an integer number (39345579).

Almost surely, 2^506806516 is an apocalyptic number.

It is an amenable number.

506806516 is a deficient number, since it is larger than the sum of its proper divisors (437487380).

506806516 is a wasteful number, since it uses less digits than its factorization.

506806516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41379 (or 41377 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 506806516 is about 22512.3636253504. The cubic root of 506806516 is about 797.2858626532.

The spelling of 506806516 in words is "five hundred six million, eight hundred six thousand, five hundred sixteen".