506835007 has 16 divisors (see below), whose sum is σ = 588349440. Its totient is φ = 427632192.

The previous prime is 506834947. The next prime is 506835019. The reversal of 506835007 is 700538605.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 506835007 - 2⁷ = 506834879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506835047) 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 15 ways as a sum of consecutive naturals, for example, 210603 + ... + 212995.

It is an arithmetic number, because the mean of its divisors is an integer number (36771840).

Almost surely, 2^506835007 is an apocalyptic number.

506835007 is a deficient number, since it is larger than the sum of its proper divisors (81514433).

506835007 is a wasteful number, since it uses less digits than its factorization.

506835007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862.

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 506835007 is about 22512.9964020785. The cubic root of 506835007 is about 797.3008026386.

The spelling of 506835007 in words is "five hundred six million, eight hundred thirty-five thousand, seven".