51111084 has 48 divisors (see below), whose sum is σ = 122130176. Its totient is φ = 16632000.

The previous prime is 51111031. The next prime is 51111089. The reversal of 51111084 is 48011115.

It is a happy number.

51111084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×51111084³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 51111084.

It is not an unprimeable number, because it can be changed into a prime (51111089) 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 15 ways as a sum of consecutive naturals, for example, 121194 + ... + 121614.

Almost surely, 2^51111084 is an apocalyptic number.

It is an amenable number.

51111084 is an abundant number, since it is smaller than the sum of its proper divisors (71019092).

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

51111084 is a wasteful number, since it uses less digits than its factorization.

51111084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 21.

The square root of 51111084 is about 7149.2016337490. The cubic root of 51111084 is about 371.1120282234.

Adding to 51111084 its sum of digits (21), we get a triangular number (51111105 = T₁₀₁₁₀).

Adding to 51111084 its reverse (48011115), we get a palindrome (99122199).

The spelling of 51111084 in words is "fifty-one million, one hundred eleven thousand, eighty-four".