511016106664 has 96 divisors (see below), whose sum is σ = 1138740676200. Its totient is φ = 214298542080.

The previous prime is 511016106661. The next prime is 511016106691. The reversal of 511016106664 is 466601610115.

It can be written as a sum of positive squares in 4 ways, for example, as 308866954564 + 202149152100 = 555758^2 + 449610^2 .

It is a super-2 number, since 2×511016106664² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511016106661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4559652 + ... + 4670380.

Almost surely, 2^511016106664 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 511016106664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569370338100).

511016106664 is an abundant number, since it is smaller than the sum of its proper divisors (627724569536).

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

511016106664 is a wasteful number, since it uses less digits than its factorization.

511016106664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111003 (or 110992 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

Adding to 511016106664 its reverse (466601610115), we get a palindrome (977617716779).

The spelling of 511016106664 in words is "five hundred eleven billion, sixteen million, one hundred six thousand, six hundred sixty-four".