1563552 has 72 divisors (see below), whose sum is σ = 4570020. Its totient is φ = 506880.

The previous prime is 1563539. The next prime is 1563571. The reversal of 1563552 is 2553651.

It can be written as a sum of positive squares in 2 ways, for example, as 1245456 + 318096 = 1116^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17524 + ... + 17612.

2^1563552 is an apocalyptic number.

1563552 is a gapful number since it is divisible by the number (12) 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 1563552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285010).

1563552 is an abundant number, since it is smaller than the sum of its proper divisors (3006468).

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

1563552 is a wasteful number, since it uses less digits than its factorization.

1563552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 1563552 is about 1250.4207291948. The cubic root of 1563552 is about 116.0657574056.

Subtracting 1563552 from its reverse (2553651), we obtain a palindrome (990099).

The spelling of 1563552 in words is "one million, five hundred sixty-three thousand, five hundred fifty-two".