512862228736 has 243 divisors, whose sum is σ = 1222368177807. Its totient is φ = 214499450880.

The previous prime is 512862228721. The next prime is 512862228737. The reversal of 512862228736 is 637822268215.

The square root of 512862228736 is 716144.

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

It can be written as a sum of positive squares in 4 ways, for example, as 405697659136 + 107164569600 = 636944^2 + 327360^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (512862228737) 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 26 ways as a sum of consecutive naturals, for example, 1638537316 + ... + 1638537628.

Almost surely, 2^512862228736 is an apocalyptic number.

512862228736 is the 716144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512862228736

512862228736 is an abundant number, since it is smaller than the sum of its proper divisors (709505949071).

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

512862228736 is an equidigital number, since it uses as much as digits as its factorization.

512862228736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 339 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 52.

The spelling of 512862228736 in words is "five hundred twelve billion, eight hundred sixty-two million, two hundred twenty-eight thousand, seven hundred thirty-six".