5325216 has 96 divisors (see below), whose sum is σ = 16003008. Its totient is φ = 1536000.

The previous prime is 5325209. The next prime is 5325217. The reversal of 5325216 is 6125235.

5325216 = T₇₈₃ + T₇₈₄ + ... + T₇₉₉.

5325216 is a nontrivial binomial coefficient, being equal to C(3264, 2).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 5² + 3¹⁴ + 2⁴ + 5³ + 2¹⁸ + 1 + 6⁷ .

It is not an unprimeable number, because it can be changed into a prime (5325217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21091 + ... + 21341.

It is an arithmetic number, because the mean of its divisors is an integer number (166698).

Almost surely, 2^5325216 is an apocalyptic number.

5325216 is the 3263-rd triangular number and also the 1632-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5325216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8001504).

5325216 is an abundant number, since it is smaller than the sum of its proper divisors (10677792).

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

5325216 is a wasteful number, since it uses less digits than its factorization.

5325216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 5325216 is about 2307.6429533184. The cubic root of 5325216 is about 174.6274086417.

It can be divided in two parts, 5 and 325216, that added together give a triangular number (325221 = T₈₀₆).

The spelling of 5325216 in words is "five million, three hundred twenty-five thousand, two hundred sixteen".