511053411352 has 128 divisors (see below), whose sum is σ = 1074086438400. Its totient is φ = 227893607040.

The previous prime is 511053411347. The next prime is 511053411361. The reversal of 511053411352 is 253114350115.

It is a super-2 number, since 2×511053411352² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 191907573 + ... + 191910235.

It is an arithmetic number, because the mean of its divisors is an integer number (8391300300).

Almost surely, 2^511053411352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511053411352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537043219200).

511053411352 is an abundant number, since it is smaller than the sum of its proper divisors (563033027048).

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

511053411352 is a wasteful number, since it uses less digits than its factorization.

511053411352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

Adding to 511053411352 its reverse (253114350115), we get a palindrome (764167761467).

The spelling of 511053411352 in words is "five hundred eleven billion, fifty-three million, four hundred eleven thousand, three hundred fifty-two".