511044053312 has 112 divisors (see below), whose sum is σ = 1104149734800. Its totient is φ = 233271705600.

The previous prime is 511044053309. The next prime is 511044053321. The reversal of 511044053312 is 213350440115.

It can be written as a sum of positive squares in 8 ways, for example, as 66123036736 + 444921016576 = 257144^2 + 667024^2 .

It is a super-2 number, since 2×511044053312² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89827364 + ... + 89833052.

It is an arithmetic number, because the mean of its divisors is an integer number (9858479775).

Almost surely, 2^511044053312 is an apocalyptic number.

511044053312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511044053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552074867400).

511044053312 is an abundant number, since it is smaller than the sum of its proper divisors (593105681488).

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

511044053312 is a wasteful number, since it uses less digits than its factorization.

511044053312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6884 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 511044053312 its reverse (213350440115), we get a palindrome (724394493427).

The spelling of 511044053312 in words is "five hundred eleven billion, forty-four million, fifty-three thousand, three hundred twelve".