51825700 has 36 divisors (see below), whose sum is σ = 113212372. Its totient is φ = 20592000.

The previous prime is 51825671. The next prime is 51825703. The reversal of 51825700 is 752815.

It can be written as a sum of positive squares in 6 ways, for example, as 8054244 + 43771456 = 2838^2 + 6616^2 .

It is not an unprimeable number, because it can be changed into a prime (51825703) 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 11 ways as a sum of consecutive naturals, for example, 14050 + ... + 17350.

Almost surely, 2^51825700 is an apocalyptic number.

51825700 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 51825700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56606186).

51825700 is an abundant number, since it is smaller than the sum of its proper divisors (61386672).

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

51825700 is a wasteful number, since it uses less digits than its factorization.

51825700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 51825700 is about 7199.0068759517. The cubic root of 51825700 is about 372.8336125115.

It can be divided in two parts, 51825 and 700, that added together give a palindrome (52525).

The spelling of 51825700 in words is "fifty-one million, eight hundred twenty-five thousand, seven hundred".