51171120 has 480 divisors, whose sum is σ = 233985024. Its totient is φ = 9676800.

The previous prime is 51171103. The next prime is 51171137. The reversal of 51171120 is 2117115.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51171103) and next prime (51171137).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 51171093 and 51171102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720685 + ... + 720755.

Almost surely, 2^51171120 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 51171120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

51171120 is an abundant number, since it is smaller than the sum of its proper divisors (182813904).

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

51171120 is a wasteful number, since it uses less digits than its factorization.

51171120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

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

The square root of 51171120 is about 7153.3991919926. The cubic root of 51171120 is about 371.2572763258.

Adding to 51171120 its reverse (2117115), we get a palindrome (53288235).

It can be divided in two parts, 511 and 71120, that added together give a triangular number (71631 = T₃₇₈).

The spelling of 51171120 in words is "fifty-one million, one hundred seventy-one thousand, one hundred twenty".