51018144 has 48 divisors (see below), whose sum is σ = 135136512. Its totient is φ = 16851968.

The previous prime is 51018133. The next prime is 51018161. The reversal of 51018144 is 44181015.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8497 + ... + 13199.

It is an arithmetic number, because the mean of its divisors is an integer number (2815344).

Almost surely, 2^51018144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51018144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67568256).

51018144 is an abundant number, since it is smaller than the sum of its proper divisors (84118368).

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

51018144 is a wasteful number, since it uses less digits than its factorization.

51018144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 51018144 is about 7142.6986496702. The cubic root of 51018144 is about 370.8869493266.

Adding to 51018144 its reverse (44181015), we get a palindrome (95199159).

The spelling of 51018144 in words is "fifty-one million, eighteen thousand, one hundred forty-four".