51418120 has 64 divisors (see below), whose sum is σ = 126710640. Its totient is φ = 18662400.

The previous prime is 51418117. The next prime is 51418121. The reversal of 51418120 is 2181415.

It can be written as a sum of positive squares in 8 ways, for example, as 6340324 + 45077796 = 2518^2 + 6714^2 .

It is a junction number, because it is equal to n+sod(n) for n = 51418091 and 51418100.

It is not an unprimeable number, because it can be changed into a prime (51418121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30910 + ... + 32530.

Almost surely, 2^51418120 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 51418120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63355320).

51418120 is an abundant number, since it is smaller than the sum of its proper divisors (75292520).

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

51418120 is a wasteful number, since it uses less digits than its factorization.

51418120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 51418120 is about 7170.6429279389. The cubic root of 51418120 is about 371.8536634888.

Adding to 51418120 its reverse (2181415), we get a palindrome (53599535).

The spelling of 51418120 in words is "fifty-one million, four hundred eighteen thousand, one hundred twenty".