51225600 has 264 divisors, whose sum is σ = 182756160. Its totient is φ = 12615680.

The previous prime is 51225583. The next prime is 51225611. The reversal of 51225600 is 652215.

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, 1766386 + ... + 1766414.

Almost surely, 2^51225600 is an apocalyptic number.

51225600 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 51225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91378080).

51225600 is an abundant number, since it is smaller than the sum of its proper divisors (131530560).

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

51225600 is a wasteful number, since it uses less digits than its factorization.

51225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 51225600 is about 7157.2061588304. The cubic root of 51225600 is about 371.3889842284.

Adding to 51225600 its reverse (652215), we get a palindrome (51877815).

The spelling of 51225600 in words is "fifty-one million, two hundred twenty-five thousand, six hundred".