506085330 has 64 divisors (see below), whose sum is σ = 1334154240. Its totient is φ = 122291136.

The previous prime is 506085313. The next prime is 506085383. The reversal of 506085330 is 33580605.

It is a super-2 number, since 2×506085330² = 512244722482417800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6192 + ... + 32411.

It is an arithmetic number, because the mean of its divisors is an integer number (20846160).

Almost surely, 2^506085330 is an apocalyptic number.

506085330 is an abundant number, since it is smaller than the sum of its proper divisors (828068910).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506085330 is a wasteful number, since it uses less digits than its factorization.

506085330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38655.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 506085330 is about 22496.3403690467. The cubic root of 506085330 is about 796.9075036953.

The spelling of 506085330 in words is "five hundred six million, eighty-five thousand, three hundred thirty".