506806011 has 16 divisors (see below), whose sum is σ = 775045120. Its totient is φ = 326971080.

The previous prime is 506805991. The next prime is 506806031. The reversal of 506806011 is 110608605.

506806011 is a `hidden beast` number, since 50 + 6 + 8 + 0 + 601 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (506805991) and next prime (506806031).

It is not a de Polignac number, because 506806011 - 2⁵ = 506805979 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 not an unprimeable number, because it can be changed into a prime (506806031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301915 + ... + 303588.

It is an arithmetic number, because the mean of its divisors is an integer number (48440320).

Almost surely, 2^506806011 is an apocalyptic number.

506806011 is a deficient number, since it is larger than the sum of its proper divisors (268239109).

506806011 is a wasteful number, since it uses less digits than its factorization.

506806011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605543 (or 605537 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 506806011 is about 22512.3524092886. The cubic root of 506806011 is about 797.2855978385.

The spelling of 506806011 in words is "five hundred six million, eight hundred six thousand, eleven".