51528500 has 48 divisors (see below), whose sum is σ = 113257872. Its totient is φ = 20480000.

The previous prime is 51528493. The next prime is 51528509. The reversal of 51528500 is 582515.

It can be written as a sum of positive squares in 8 ways, for example, as 234256 + 51294244 = 484^2 + 7162^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 51528500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51528509) 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, 128300 + ... + 128700.

It is an arithmetic number, because the mean of its divisors is an integer number (2359539).

Almost surely, 2^51528500 is an apocalyptic number.

51528500 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 51528500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56628936).

51528500 is an abundant number, since it is smaller than the sum of its proper divisors (61729372).

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

51528500 is a wasteful number, since it uses less digits than its factorization.

51528500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The square root of 51528500 is about 7178.3354616513. The cubic root of 51528500 is about 372.1195611372.

The spelling of 51528500 in words is "fifty-one million, five hundred twenty-eight thousand, five hundred".