5205252 has 48 divisors (see below), whose sum is σ = 13318592. Its totient is φ = 1572480.

The previous prime is 5205251. The next prime is 5205253. The reversal of 5205252 is 2525025.

It is an interprime number because it is at equal distance from previous prime (5205251) and next prime (5205253).

5205252 is a modest number, since divided by 5252 gives 520 as remainder.

It is not an unprimeable number, because it can be changed into a prime (5205251) 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 15 ways as a sum of consecutive naturals, for example, 9243 + ... + 9789.

Almost surely, 2^5205252 is an apocalyptic number.

5205252 is a gapful number since it is divisible by the number (52) 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 5205252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659296).

5205252 is an abundant number, since it is smaller than the sum of its proper divisors (8113340).

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

5205252 is a wasteful number, since it uses less digits than its factorization.

5205252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 21.

The square root of 5205252 is about 2281.5021367511. The cubic root of 5205252 is about 173.3061282089.

The spelling of 5205252 in words is "five million, two hundred five thousand, two hundred fifty-two".