51105011000 has 128 divisors (see below), whose sum is σ = 125106508800. Its totient is φ = 19502876800.

The previous prime is 51105010933. The next prime is 51105011017. The reversal of 51105011000 is 11050115.

It is a super-2 number, since 2×51105011000² (a number of 22 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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9634349 + ... + 9639651.

It is an arithmetic number, because the mean of its divisors is an integer number (977394600).

Almost surely, 2^51105011000 is an apocalyptic number.

51105011000 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 51105011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62553254400).

51105011000 is an abundant number, since it is smaller than the sum of its proper divisors (74001497800).

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

51105011000 is a wasteful number, since it uses less digits than its factorization.

51105011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5766 (or 5752 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 51105011000 its reverse (11050115), we get a palindrome (51116061115).

The spelling of 51105011000 in words is "fifty-one billion, one hundred five million, eleven thousand".