51817168 has 40 divisors (see below), whose sum is σ = 111057128. Its totient is φ = 23265792.

The previous prime is 51817147. The next prime is 51817187. The reversal of 51817168 is 86171815.

It can be written as a sum of positive squares in 4 ways, for example, as 25684624 + 26132544 = 5068^2 + 5112^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4330 + ... + 11062.

Almost surely, 2^51817168 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 51817168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55528564).

51817168 is an abundant number, since it is smaller than the sum of its proper divisors (59239960).

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

51817168 is a wasteful number, since it uses less digits than its factorization.

51817168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6791 (or 6785 counting only the distinct ones).

The product of its digits is 13440, while the sum is 37.

The square root of 51817168 is about 7198.4142698236. The cubic root of 51817168 is about 372.8131516786.

The spelling of 51817168 in words is "fifty-one million, eight hundred seventeen thousand, one hundred sixty-eight".