5282100 has 54 divisors (see below), whose sum is σ = 16559270. Its totient is φ = 1408320.

The previous prime is 5282099. The next prime is 5282107. The reversal of 5282100 is 12825.

It can be written as a sum of positive squares in 3 ways, for example, as 1296 + 5280804 = 36^2 + 2298^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5282107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2035 + ... + 3834.

Almost surely, 2^5282100 is an apocalyptic number.

5282100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5282100 is an abundant number, since it is smaller than the sum of its proper divisors (11277170).

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

5282100 is a wasteful number, since it uses less digits than its factorization.

5282100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889 (or 5879 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5282100 is about 2298.2819670354. The cubic root of 5282100 is about 174.1548364127.

Adding to 5282100 its reverse (12825), we get a palindrome (5294925).

It can be divided in two parts, 528 and 2100, that added together give a triangular number (2628 = T₇₂).

The spelling of 5282100 in words is "five million, two hundred eighty-two thousand, one hundred".