51113120 has 48 divisors (see below), whose sum is σ = 122757768. Its totient is φ = 20106240.

The previous prime is 51113119. The next prime is 51113129. The reversal of 51113120 is 2131115.

It can be written as a sum of positive squares in 4 ways, for example, as 36336784 + 14776336 = 6028^2 + 3844^2 .

It is a super-2 number, since 2×51113120² = 5225102072268800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51113095 and 51113104.

It is not an unprimeable number, because it can be changed into a prime (51113129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7142 + ... + 12378.

Almost surely, 2^51113120 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 51113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61378884).

51113120 is an abundant number, since it is smaller than the sum of its proper divisors (71644648).

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

51113120 is a wasteful number, since it uses less digits than its factorization.

51113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5313 (or 5305 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 51113120 is about 7149.3440258530. The cubic root of 51113120 is about 371.1169558829.

Adding to 51113120 its reverse (2131115), we get a palindrome (53244235).

It can be divided in two parts, 511 and 13120, that added together give a palindrome (13631).

The spelling of 51113120 in words is "fifty-one million, one hundred thirteen thousand, one hundred twenty".