51120360 has 96 divisors (see below), whose sum is σ = 175935240. Its totient is φ = 12828672.

The previous prime is 51120353. The next prime is 51120383. The reversal of 51120360 is 6302115.

It can be written as a sum of positive squares in 4 ways, for example, as 48358116 + 2762244 = 6954^2 + 1662^2 .

It is a super-2 number, since 2×51120360² = 5226582413059200, which contains 22 as substring.

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

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, 1944 + ... + 10296.

Almost surely, 2^51120360 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 51120360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87967620).

51120360 is an abundant number, since it is smaller than the sum of its proper divisors (124814880).

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

51120360 is a wasteful number, since it uses less digits than its factorization.

51120360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8387 (or 8380 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 51120360 is about 7149.8503480842. The cubic root of 51120360 is about 371.1344775414.

Adding to 51120360 its reverse (6302115), we get a palindrome (57422475).

The spelling of 51120360 in words is "fifty-one million, one hundred twenty thousand, three hundred sixty".