506606607 has 48 divisors (see below), whose sum is σ = 815182368. Its totient is φ = 301190400.

The previous prime is 506606563. The next prime is 506606609. The reversal of 506606607 is 706606605.

It is not a de Polignac number, because 506606607 - 2⁶ = 506606543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506606609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507633 + ... + 508629.

It is an arithmetic number, because the mean of its divisors is an integer number (16982966).

Almost surely, 2^506606607 is an apocalyptic number.

506606607 is a deficient number, since it is larger than the sum of its proper divisors (308575761).

506606607 is a wasteful number, since it uses less digits than its factorization.

506606607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 506606607 is about 22507.9232049516. The cubic root of 506606607 is about 797.1810194994.

The spelling of 506606607 in words is "five hundred six million, six hundred six thousand, six hundred seven".