5259168 has 60 divisors (see below), whose sum is σ = 15474690. Its totient is φ = 1752192.

The previous prime is 5259167. The next prime is 5259169. The reversal of 5259168 is 8619525.

It is a happy number.

5259168 is a `hidden beast` number, since 5 + 2 + 591 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (5259167) and next prime (5259169).

It can be written as a sum of positive squares in only one way, i.e., 2862864 + 2396304 = 1692^2 + 1548^2 .

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

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (5259161) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1578 + ... + 3606.

Almost surely, 2^5259168 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 5259168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7737345).

5259168 is an abundant number, since it is smaller than the sum of its proper divisors (10215522).

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

5259168 is a wasteful number, since it uses less digits than its factorization.

5259168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2034 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 5259168 is about 2293.2875964431. The cubic root of 5259168 is about 173.9024423393.

The spelling of 5259168 in words is "five million, two hundred fifty-nine thousand, one hundred sixty-eight".