506607165 has 48 divisors (see below), whose sum is σ = 927014400. Its totient is φ = 255229056.

The previous prime is 506607139. The next prime is 506607173. The reversal of 506607165 is 561706605.

It is a happy number.

It is not a de Polignac number, because 506607165 - 2⁵ = 506607133 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408927 + ... + 410163.

It is an arithmetic number, because the mean of its divisors is an integer number (19312800).

Almost surely, 2^506607165 is an apocalyptic number.

It is an amenable number.

506607165 is a deficient number, since it is larger than the sum of its proper divisors (420407235).

506607165 is a wasteful number, since it uses less digits than its factorization.

506607165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 506607165 is about 22507.9356005832. The cubic root of 506607165 is about 797.1813121834.

The spelling of 506607165 in words is "five hundred six million, six hundred seven thousand, one hundred sixty-five".