51315120 has 100 divisors (see below), whose sum is σ = 178247520. Its totient is φ = 13682304.

The previous prime is 51315113. The next prime is 51315157. The reversal of 51315120 is 2151315.

51315120 is a `hidden beast` number, since 513 + 151 + 2 + 0 = 666.

It is a super-2 number, since 2×51315120² = 5266483081228800, which contains 22 as substring.

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 = 51315093 and 51315102.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2521 + ... + 10439.

Almost surely, 2^51315120 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 51315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89123760).

51315120 is an abundant number, since it is smaller than the sum of its proper divisors (126932400).

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

51315120 is a wasteful number, since it uses less digits than its factorization.

51315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7944 (or 7929 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 51315120 is about 7163.4572658738. The cubic root of 51315120 is about 371.6052002982.

Adding to 51315120 its reverse (2151315), we get a palindrome (53466435).

The spelling of 51315120 in words is "fifty-one million, three hundred fifteen thousand, one hundred twenty".