51125200 has 180 divisors, whose sum is σ = 152683680. Its totient is φ = 16070400.

The previous prime is 51125189. The next prime is 51125201. The reversal of 51125200 is 252115.

It is a super-2 number, since 2×51125200² = 5227572150080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51125201) 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 35 ways as a sum of consecutive naturals, for example, 1649185 + ... + 1649215.

Almost surely, 2^51125200 is an apocalyptic number.

51125200 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 51125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76341840).

51125200 is an abundant number, since it is smaller than the sum of its proper divisors (101558480).

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

51125200 is a wasteful number, since it uses less digits than its factorization.

51125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 51125200 is about 7150.1888086959. The cubic root of 51125200 is about 371.1461899928.

Adding to 51125200 its reverse (252115), we get a palindrome (51377315).

The spelling of 51125200 in words is "fifty-one million, one hundred twenty-five thousand, two hundred".