51258168 has 96 divisors (see below), whose sum is σ = 156068640. Its totient is φ = 15079680.

The previous prime is 51258161. The next prime is 51258169. The reversal of 51258168 is 86185215.

51258168 is a `hidden beast` number, since 5 + 12 + 581 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51258161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20338 + ... + 22718.

It is an arithmetic number, because the mean of its divisors is an integer number (1625715).

Almost surely, 2^51258168 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 51258168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78034320).

51258168 is an abundant number, since it is smaller than the sum of its proper divisors (104810472).

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

51258168 is a wasteful number, since it uses less digits than its factorization.

51258168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2422 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 51258168 is about 7159.4809867755. The cubic root of 51258168 is about 371.4676742715.

The spelling of 51258168 in words is "fifty-one million, two hundred fifty-eight thousand, one hundred sixty-eight".