511388084768 has 36 divisors (see below), whose sum is σ = 1106642767230. Its totient is φ = 232449127680.

The previous prime is 511388084759. The next prime is 511388084771. The reversal of 511388084768 is 867480883115.

It can be written as a sum of positive squares in only one way, i.e., 269705726224 + 241682358544 = 519332^2 + 491612^2 .

It is a super-2 number, since 2×511388084768² (a number of 24 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 66032813 + ... + 66040556.

Almost surely, 2^511388084768 is an apocalyptic number.

It is an amenable number.

511388084768 is an abundant number, since it is smaller than the sum of its proper divisors (595254682462).

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

511388084768 is a wasteful number, since it uses less digits than its factorization.

511388084768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132073401 (or 132073382 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 59.

The spelling of 511388084768 in words is "five hundred eleven billion, three hundred eighty-eight million, eighty-four thousand, seven hundred sixty-eight".