5153824 has 36 divisors (see below), whose sum is σ = 10998666. Its totient is φ = 2376192.

The previous prime is 5153779. The next prime is 5153831. The reversal of 5153824 is 4283515.

It can be written as a sum of positive squares in 3 ways, for example, as 2371600 + 2782224 = 1540^2 + 1668^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5153792 and 5153801.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4932 + ... + 5884.

Almost surely, 2^5153824 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 5153824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499333).

5153824 is an abundant number, since it is smaller than the sum of its proper divisors (5844842).

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

5153824 is a wasteful number, since it uses less digits than its factorization.

5153824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 968 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 5153824 is about 2270.2035151061. The cubic root of 5153824 is about 172.7334820566.

The spelling of 5153824 in words is "five million, one hundred fifty-three thousand, eight hundred twenty-four".