51252120 has 192 divisors, whose sum is σ = 179712000. Its totient is φ = 12628224.

The previous prime is 51252109. The next prime is 51252121. The reversal of 51252120 is 2125215.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 51252093 and 51252102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51252121) 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 47 ways as a sum of consecutive naturals, for example, 403497 + ... + 403623.

It is an arithmetic number, because the mean of its divisors is an integer number (936000).

Almost surely, 2^51252120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51252120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89856000).

51252120 is an abundant number, since it is smaller than the sum of its proper divisors (128459880).

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

51252120 is a wasteful number, since it uses less digits than its factorization.

51252120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 51252120 is about 7159.0585973297. The cubic root of 51252120 is about 371.4530637554.

Adding to 51252120 its reverse (2125215), we get a palindrome (53377335).

The spelling of 51252120 in words is "fifty-one million, two hundred fifty-two thousand, one hundred twenty".