52205216 has 48 divisors (see below), whose sum is σ = 122580864. Its totient is φ = 21398784.

The previous prime is 52205213. The next prime is 52205221. The reversal of 52205216 is 61250225.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 52205191 and 52205200.

It is not an unprimeable number, because it can be changed into a prime (52205213) 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 7 ways as a sum of consecutive naturals, for example, 86 + ... + 10218.

It is an arithmetic number, because the mean of its divisors is an integer number (2553768).

Almost surely, 2^52205216 is an apocalyptic number.

52205216 is a gapful number since it is divisible by the number (56) 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 52205216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61290432).

52205216 is an abundant number, since it is smaller than the sum of its proper divisors (70375648).

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

52205216 is a wasteful number, since it uses less digits than its factorization.

52205216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10173 (or 10165 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 52205216 is about 7225.3177092776. The cubic root of 52205216 is about 373.7414782381.

The spelling of 52205216 in words is "fifty-two million, two hundred five thousand, two hundred sixteen".