51109506 has 96 divisors (see below), whose sum is σ = 137055360. Its totient is φ = 13436928.

The previous prime is 51109501. The next prime is 51109511. The reversal of 51109506 is 60590115.

51109506 is a `hidden beast` number, since 51 + 109 + 506 = 666.

51109506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51109501) and next prime (51109511).

It is a super-2 number, since 2×51109506² = 5224363207128072, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51109506.

It is not an unprimeable number, because it can be changed into a prime (51109501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88290 + ... + 88866.

It is an arithmetic number, because the mean of its divisors is an integer number (1427660).

Almost surely, 2^51109506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51109506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68527680).

51109506 is an abundant number, since it is smaller than the sum of its proper divisors (85945854).

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

51109506 is a wasteful number, since it uses less digits than its factorization.

51109506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 51109506 is about 7149.0912709239. The cubic root of 51109506 is about 371.1082089552.

It can be divided in two parts, 51109 and 506, that added together give a palindrome (51615).

The spelling of 51109506 in words is "fifty-one million, one hundred nine thousand, five hundred six".