51481584 has 120 divisors (see below), whose sum is σ = 179667072. Its totient is φ = 13368960.

The previous prime is 51481561. The next prime is 51481597. The reversal of 51481584 is 48518415.

It is a super-3 number, since 3×51481584³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8767 + ... + 13409.

Almost surely, 2^51481584 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 51481584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89833536).

51481584 is an abundant number, since it is smaller than the sum of its proper divisors (128185488).

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

51481584 is a wasteful number, since it uses less digits than its factorization.

51481584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4675 (or 4666 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 51481584 is about 7175.0668289571. The cubic root of 51481584 is about 372.0065902405.

Adding to 51481584 its reverse (48518415), we get a palindrome (99999999).

The spelling of 51481584 in words is "fifty-one million, four hundred eighty-one thousand, five hundred eighty-four".