1563 has 4 divisors (see below), whose sum is σ = 2088. Its totient is φ = 1040.

The previous prime is 1559. The next prime is 1567. The reversal of 1563 is 3651.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3651 = 3 ⋅1217.

It is an interprime number because it is at equal distance from previous prime (1559) and next prime (1567).

It is a cyclic number.

It is not a de Polignac number, because 1563 - 2^{2} = 1559 is a prime.

It is a D-number.

1563 is a lucky number.

It is a plaindrome in base 5 and base 6.

It is a nialpdrome in base 12 and base 13.

It is not an unprimeable number, because it can be changed into a prime (1567) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 258 + ... + 263.

It is an arithmetic number, because the mean of its divisors is an integer number (522).

1563 is a deficient number, since it is larger than the sum of its proper divisors (525).

1563 is an equidigital number, since it uses as much as digits as its factorization.

1563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524.

The product of its digits is 90, while the sum is 15.

The square root of 1563 is about 39.5347948015. The cubic root of 1563 is about 11.6052097091.

Adding to 1563 its product of digits (90), we get a triangular number (1653 = T_{57}).

It can be divided in two parts, 15 and 63, that added together give a triangular number (78 = T_{12}).

The spelling of 1563 in words is "one thousand, five hundred sixty-three".

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