5202144 has 84 divisors (see below), whose sum is σ = 15424416. Its totient is φ = 1726272.

The previous prime is 5202137. The next prime is 5202151. The reversal of 5202144 is 4412025.

5202144 is a `hidden beast` number, since 520 + 2 + 144 = 666.

It is an interprime number because it is at equal distance from previous prime (5202137) and next prime (5202151).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23217 + ... + 23439.

It is an arithmetic number, because the mean of its divisors is an integer number (183624).

Almost surely, 2^5202144 is an apocalyptic number.

5202144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7712208).

5202144 is an abundant number, since it is smaller than the sum of its proper divisors (10222272).

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

5202144 is an equidigital number, since it uses as much as digits as its factorization.

5202144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 5202144 is about 2280.8209048498. The cubic root of 5202144 is about 173.2716282663.

Adding to 5202144 its reverse (4412025), we get a palindrome (9614169).

The spelling of 5202144 in words is "five million, two hundred two thousand, one hundred forty-four".