51625200 has 120 divisors (see below), whose sum is σ = 180452736. Its totient is φ = 12512000.

The previous prime is 51625187. The next prime is 51625201. The reversal of 51625200 is 252615.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×51625200² = 5330322550080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51625201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11245 + ... + 15155.

Almost surely, 2^51625200 is an apocalyptic number.

51625200 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 51625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90226368).

51625200 is an abundant number, since it is smaller than the sum of its proper divisors (128827536).

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

51625200 is a wasteful number, since it uses less digits than its factorization.

51625200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3943 (or 3932 counting only the distinct ones).

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

The square root of 51625200 is about 7185.0678493665. The cubic root of 51625200 is about 372.3521927582.

Adding to 51625200 its reverse (252615), we get a palindrome (51877815).

The spelling of 51625200 in words is "fifty-one million, six hundred twenty-five thousand, two hundred".