511006565106 has 80 divisors (see below), whose sum is σ = 1208774144160. Its totient is φ = 160905113280.

The previous prime is 511006565093. The next prime is 511006565117. The reversal of 511006565106 is 601565600115.

511006565106 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×511006565106² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 828846 + ... + 1307286.

It is an arithmetic number, because the mean of its divisors is an integer number (15109676802).

Almost surely, 2^511006565106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511006565106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604387072080).

511006565106 is an abundant number, since it is smaller than the sum of its proper divisors (697767579054).

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

511006565106 is a wasteful number, since it uses less digits than its factorization.

511006565106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478821 (or 478812 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 511006565106 in words is "five hundred eleven billion, six million, five hundred sixty-five thousand, one hundred six".