51121584 has 80 divisors (see below), whose sum is σ = 155391840. Its totient is φ = 16035840.

The previous prime is 51121583. The next prime is 51121591. The reversal of 51121584 is 48512115.

It is a super-2 number, since 2×51121584² = 5226832701338112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (51121583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3864 + ... + 10824.

It is an arithmetic number, because the mean of its divisors is an integer number (1942398).

Almost surely, 2^51121584 is an apocalyptic number.

51121584 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51121584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77695920).

51121584 is an abundant number, since it is smaller than the sum of its proper divisors (104270256).

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

51121584 is a wasteful number, since it uses less digits than its factorization.

51121584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6995 (or 6983 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 51121584 is about 7149.9359437690. The cubic root of 51121584 is about 371.1374396031.

Adding to 51121584 its reverse (48512115), we get a palindrome (99633699).

The spelling of 51121584 in words is "fifty-one million, one hundred twenty-one thousand, five hundred eighty-four".