51528 has 32 divisors (see below), whose sum is σ = 136800. Its totient is φ = 16128.

The previous prime is 51521. The next prime is 51539. The reversal of 51528 is 82515.

It is a Cunningham number, because it is equal to 227²-1.

It is not an unprimeable number, because it can be changed into a prime (51521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (4275).

2⁵¹⁵²⁸ 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 51528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68400).

51528 is an abundant number, since it is smaller than the sum of its proper divisors (85272).

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

51528 is a wasteful number, since it uses less digits than its factorization.

51528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its digits is 400, while the sum is 21.

The square root of 51528 is about 226.9977973461. The cubic root of 51528 is about 37.2118357529.

The spelling of 51528 in words is "fifty-one thousand, five hundred twenty-eight".