51001168 has 40 divisors (see below), whose sum is σ = 104913920. Its totient is φ = 23950080.

The previous prime is 51001163. The next prime is 51001213. The reversal of 51001168 is 86110015.

It is a super-2 number, since 2×51001168² = 5202238274728448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51001163) 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 7 ways as a sum of consecutive naturals, for example, 37948 + ... + 39268.

It is an arithmetic number, because the mean of its divisors is an integer number (2622848).

Almost surely, 2^51001168 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 51001168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52456960).

51001168 is an abundant number, since it is smaller than the sum of its proper divisors (53912752).

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

51001168 is a wasteful number, since it uses less digits than its factorization.

51001168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

The square root of 51001168 is about 7141.5102044316. The cubic root of 51001168 is about 370.8458079154.

The spelling of 51001168 in words is "fifty-one million, one thousand, one hundred sixty-eight".