5205152 has 48 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 2446080.

The previous prime is 5205149. The next prime is 5205169. The reversal of 5205152 is 2515025.

It is a super-3 number, since 3×5205152³ (a number of 21 digits) contains 333 as substring.

It is a pancake number, because a pancake can be divided into 5205152 parts by 3226 straight cuts.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 65849 + ... + 65927.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 2^5205152 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 5205152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

5205152 is an abundant number, since it is smaller than the sum of its proper divisors (5681248).

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

5205152 is a wasteful number, since it uses less digits than its factorization.

5205152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 5205152 is about 2281.4802212599. The cubic root of 5205152 is about 173.3050183860.

The spelling of 5205152 in words is "five million, two hundred five thousand, one hundred fifty-two".