51117120 has 84 divisors (see below), whose sum is σ = 175831500. Its totient is φ = 13630464.

The previous prime is 51117103. The next prime is 51117167. The reversal of 51117120 is 2171115.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9437184 + 41679936 = 3072^2 + 6456^2 .

It is a super-2 number, since 2×51117120² = 5225919914188800, 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 = 51117093 and 51117102.

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, 5995 + ... + 11754.

Almost surely, 2^51117120 is an apocalyptic number.

It is an amenable number.

51117120 is an abundant number, since it is smaller than the sum of its proper divisors (124714380).

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

51117120 is a wasteful number, since it uses less digits than its factorization.

51117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17772 (or 17759 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 51117120 is about 7149.6237663251. The cubic root of 51117120 is about 371.1266365618.

Adding to 51117120 its reverse (2171115), we get a palindrome (53288235).

The spelling of 51117120 in words is "fifty-one million, one hundred seventeen thousand, one hundred twenty".