51725600 has 144 divisors (see below), whose sum is σ = 137803680. Its totient is φ = 18892800.

The previous prime is 51725573. The next prime is 51725627. The reversal of 51725600 is 652715.

It is an interprime number because it is at equal distance from previous prime (51725573) and next prime (51725627).

It is a self number, because there is not a number n which added to its sum of digits gives 51725600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623159 + ... + 623241.

It is an arithmetic number, because the mean of its divisors is an integer number (956970).

Almost surely, 2^51725600 is an apocalyptic number.

51725600 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 51725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68901840).

51725600 is an abundant number, since it is smaller than the sum of its proper divisors (86078080).

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

51725600 is a wasteful number, since it uses less digits than its factorization.

51725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 51725600 is about 7192.0511677824. The cubic root of 51725600 is about 372.5934183068.

It can be divided in two parts, 51725 and 600, that added together give a palindrome (52325).

The spelling of 51725600 in words is "fifty-one million, seven hundred twenty-five thousand, six hundred".