510784654864 has 135 divisors (see below), whose sum is σ = 1120538743821. Its totient is φ = 225385269120.

The previous prime is 510784654823. The next prime is 510784654909. The reversal of 510784654864 is 468456487015.

The square root of 510784654864 is 714692.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 457057123600 + 53727531264 = 676060^2 + 231792^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 510784654799 and 510784654808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1163518357 + ... + 1163518795.

Almost surely, 2^510784654864 is an apocalyptic number.

510784654864 is the 714692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510784654864

510784654864 is an abundant number, since it is smaller than the sum of its proper divisors (609754088957).

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

510784654864 is an equidigital number, since it uses as much as digits as its factorization.

510784654864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 58.

The spelling of 510784654864 in words is "five hundred ten billion, seven hundred eighty-four million, six hundred fifty-four thousand, eight hundred sixty-four".