511000106000 has 80 divisors (see below), whose sum is σ = 1236429792000. Its totient is φ = 204262486400.

The previous prime is 511000105969. The next prime is 511000106009. The reversal of 511000106000 is 601000115.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×511000106000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511000106009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2912777 + ... + 3083223.

It is an arithmetic number, because the mean of its divisors is an integer number (15455372400).

Almost surely, 2^511000106000 is an apocalyptic number.

511000106000 is a gapful number since it is divisible by the number (50) 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 511000106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618214896000).

511000106000 is an abundant number, since it is smaller than the sum of its proper divisors (725429686000).

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

511000106000 is a wasteful number, since it uses less digits than its factorization.

511000106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171969 (or 171953 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 511000106000 its reverse (601000115), we get a palindrome (511601106115).

The spelling of 511000106000 in words is "five hundred eleven billion, one hundred six thousand".