51139584 has 132 divisors (see below), whose sum is σ = 153279360. Its totient is φ = 16404480.

The previous prime is 51139579. The next prime is 51139589. The reversal of 51139584 is 48593115.

It is an interprime number because it is at equal distance from previous prime (51139579) and next prime (51139589).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51139589) by changing a digit.

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, 285607 + ... + 285785.

Almost surely, 2^51139584 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 51139584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76639680).

51139584 is an abundant number, since it is smaller than the sum of its proper divisors (102139776).

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

51139584 is a wasteful number, since it uses less digits than its factorization.

51139584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 215 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 51139584 is about 7151.1945855221. The cubic root of 51139584 is about 371.1809938743.

The spelling of 51139584 in words is "fifty-one million, one hundred thirty-nine thousand, five hundred eighty-four".