51584916 has 24 divisors (see below), whose sum is σ = 120487360. Its totient is φ = 17177472.

The previous prime is 51584909. The next prime is 51584933. The reversal of 51584916 is 61948515.

51584916 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-2 number, since 2×51584916² = 5322007117454112, which 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16425 + ... + 19311.

Almost surely, 2^51584916 is an apocalyptic number.

It is an amenable number.

51584916 is an abundant number, since it is smaller than the sum of its proper divisors (68902444).

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

51584916 is a wasteful number, since it uses less digits than its factorization.

51584916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4381 counting only the distinct ones).

The product of its digits is 43200, while the sum is 39.

The square root of 51584916 is about 7182.2639884649. The cubic root of 51584916 is about 372.2553166915.

The spelling of 51584916 in words is "fifty-one million, five hundred eighty-four thousand, nine hundred sixteen".