5245200 has 180 divisors, whose sum is σ = 19189248. Its totient is φ = 1324800.

The previous prime is 5245193. The next prime is 5245211. The reversal of 5245200 is 25425.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 111577 + ... + 111623.

Almost surely, 2^5245200 is an apocalyptic number.

5245200 is a gapful number since it is divisible by the number (50) 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 5245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9594624).

5245200 is an abundant number, since it is smaller than the sum of its proper divisors (13944048).

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

5245200 is a wasteful number, since it uses less digits than its factorization.

5245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 5245200 is about 2290.2401620791. The cubic root of 5245200 is about 173.7483480684.

It can be divided in two parts, 5245 and 200, that added together give a palindrome (5445).

The spelling of 5245200 in words is "five million, two hundred forty-five thousand, two hundred".