511072320 has 112 divisors (see below), whose sum is σ = 1770205248. Its totient is φ = 123893760.

The previous prime is 511072297. The next prime is 511072321. The reversal of 511072320 is 23270115.

It is a super-2 number, since 2×511072320² = 522389832540364800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511072321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13639 + ... + 34758.

It is an arithmetic number, because the mean of its divisors is an integer number (15805404).

Almost surely, 2^511072320 is an apocalyptic number.

It is an amenable number.

511072320 is an abundant number, since it is smaller than the sum of its proper divisors (1259132928).

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

511072320 is a wasteful number, since it uses less digits than its factorization.

511072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48428 (or 48418 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 511072320 is about 22606.9086785434. The cubic root of 511072320 is about 799.5165412267.

The spelling of 511072320 in words is "five hundred eleven million, seventy-two thousand, three hundred twenty".