51225120 has 72 divisors (see below), whose sum is σ = 174810636. Its totient is φ = 13659648.

The previous prime is 51225067. The next prime is 51225143. The reversal of 51225120 is 2152215.

It can be written as a sum of positive squares in 2 ways, for example, as 47941776 + 3283344 = 6924^2 + 1812^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 51225093 and 51225102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16347 + ... + 19226.

Almost surely, 2^51225120 is an apocalyptic number.

It is an amenable number.

51225120 is an abundant number, since it is smaller than the sum of its proper divisors (123585516).

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

51225120 is a wasteful number, since it uses less digits than its factorization.

51225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35594 (or 35583 counting only the distinct ones).

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

The square root of 51225120 is about 7157.1726261143. The cubic root of 51225120 is about 371.3878242142.

Adding to 51225120 its reverse (2152215), we get a palindrome (53377335).

The spelling of 51225120 in words is "fifty-one million, two hundred twenty-five thousand, one hundred twenty".