51053584 has 60 divisors (see below), whose sum is σ = 107389828. Its totient is φ = 23500800.

The previous prime is 51053573. The next prime is 51053591. The reversal of 51053584 is 48535015.

It can be written as a sum of positive squares in 6 ways, for example, as 5895184 + 45158400 = 2428^2 + 6720^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281974 + ... + 282154.

Almost surely, 2^51053584 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 51053584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53694914).

51053584 is an abundant number, since it is smaller than the sum of its proper divisors (56336244).

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

51053584 is a wasteful number, since it uses less digits than its factorization.

51053584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 51053584 is about 7145.1790740331. The cubic root of 51053584 is about 370.9728089187.

Adding to 51053584 its reverse (48535015), we get a palindrome (99588599).

Subtracting from 51053584 its reverse (48535015), we obtain a square (2518569 = 1587²).

The spelling of 51053584 in words is "fifty-one million, fifty-three thousand, five hundred eighty-four".