51589152 has 144 divisors (see below), whose sum is σ = 159744312. Its totient is φ = 15728640.

The previous prime is 51589151. The next prime is 51589157. The reversal of 51589152 is 25198515.

It is a happy number.

51589152 is a `hidden beast` number, since 515 + 8 + 91 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49617936 + 1971216 = 7044^2 + 1404^2 .

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

It is a super-2 number, since 2×51589152² = 5322881208158208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (51589151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200608 + ... + 200864.

Almost surely, 2^51589152 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 51589152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79872156).

51589152 is an abundant number, since it is smaller than the sum of its proper divisors (108155160).

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

51589152 is a wasteful number, since it uses less digits than its factorization.

51589152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its digits is 18000, while the sum is 36.

The square root of 51589152 is about 7182.5588754983. The cubic root of 51589152 is about 372.2655059127.

The spelling of 51589152 in words is "fifty-one million, five hundred eighty-nine thousand, one hundred fifty-two".