510864312 has 64 divisors (see below), whose sum is σ = 1480204800. Its totient is φ = 143902080.

The previous prime is 510864311. The next prime is 510864359. The reversal of 510864312 is 213468015.

It is a super-4 number, since 4×510864312⁴ (a number of 36 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 510864312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510864311) 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, 9487 + ... + 33342.

It is an arithmetic number, because the mean of its divisors is an integer number (23128200).

Almost surely, 2^510864312 is an apocalyptic number.

It is an amenable number.

510864312 is an abundant number, since it is smaller than the sum of its proper divisors (969340488).

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

510864312 is a wasteful number, since it uses less digits than its factorization.

510864312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42916 (or 42912 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 510864312 is about 22602.3076697934. The cubic root of 510864312 is about 799.4080579471.

The spelling of 510864312 in words is "five hundred ten million, eight hundred sixty-four thousand, three hundred twelve".