562500 has 63 divisors (see below), whose sum is σ = 1777321. Its totient is φ = 150000.

The previous prime is 562493. The next prime is 562501. The reversal of 562500 is 5265.

The square root of 562500 is 750.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 492804 + 69696 = 702^2 + 264^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (562501) by changing a digit.

562500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 20 ways as a sum of consecutive naturals, for example, 112498 + ... + 112502.

2^{562500} is an apocalyptic number.

562500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

562500 is the 750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 562500

562500 is an abundant number, since it is smaller than the sum of its proper divisors (1214821).

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

562500 is an equidigital number, since it uses as much as digits as its factorization.

562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The cubic root of 562500 is about 82.5481812224.

Adding to 562500 its reverse (5265), we get a palindrome (567765).

It can be divided in two parts, 56 and 2500, that added together give a triangular number (2556 = T_{71}).

The spelling of 562500 in words is "five hundred sixty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1500 1875 2250 2500 3125 3750 4500 5625 6250 7500 9375 11250 12500 15625 18750 22500 28125 31250 37500 46875 56250 62500 93750 112500 140625 187500 281250 562500

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