511373730816 has 495 divisors, whose sum is σ = 1662266839233. Its totient is φ = 156521963520.

The previous prime is 511373730793. The next prime is 511373730869. The reversal of 511373730816 is 618037373115.

The square root of 511373730816 is 715104.

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., 75647001600 + 435726729216 = 275040^2 + 660096^2 .

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 44 ways as a sum of consecutive naturals, for example, 2677349281 + ... + 2677349471.

Almost surely, 2^511373730816 is an apocalyptic number.

511373730816 is the 715104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511373730816

511373730816 is an abundant number, since it is smaller than the sum of its proper divisors (1150893108417).

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

511373730816 is an equidigital number, since it uses as much as digits as its factorization.

511373730816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 511373730816 in words is "five hundred eleven billion, three hundred seventy-three million, seven hundred thirty thousand, eight hundred sixteen".