51588000 has 144 divisors (see below), whose sum is σ = 183213576. Its totient is φ = 13747200.

The previous prime is 51587959. The next prime is 51588001. The reversal of 51588000 is 88515.

It can be written as a sum of positive squares in 4 ways, for example, as 24088464 + 27499536 = 4908^2 + 5244^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×51588000² = 5322643488000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51588001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35284 + ... + 36716.

Almost surely, 2^51588000 is an apocalyptic number.

51588000 is a gapful number since it is divisible by the number (50) 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 51588000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91606788).

51588000 is an abundant number, since it is smaller than the sum of its proper divisors (131625576).

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

51588000 is a wasteful number, since it uses less digits than its factorization.

51588000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1443 counting only the distinct ones).

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

The square root of 51588000 is about 7182.4786807898. The cubic root of 51588000 is about 372.2627349616.

The spelling of 51588000 in words is "fifty-one million, five hundred eighty-eight thousand".