5205024 has 144 divisors (see below), whose sum is σ = 16982784. Its totient is φ = 1497600.

The previous prime is 5205019. The next prime is 5205037. The reversal of 5205024 is 4205025.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5204988 and 5205006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98182 + ... + 98234.

It is an arithmetic number, because the mean of its divisors is an integer number (117936).

Almost surely, 2^5205024 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 5205024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491392).

5205024 is an abundant number, since it is smaller than the sum of its proper divisors (11777760).

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

5205024 is a wasteful number, since it uses less digits than its factorization.

5205024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 5205024 is about 2281.4521691239. The cubic root of 5205024 is about 173.3035977920.

Subtracting from 5205024 its reverse (4205025), we obtain a palindrome (999999).

The spelling of 5205024 in words is "five million, two hundred five thousand, twenty-four".