1563541632 has 96 divisors (see below), whose sum is σ = 4529947500. Its totient is φ = 517625856.

The previous prime is 1563541627. The next prime is 1563541669. The reversal of 1563541632 is 2361453651.

1563541632 is a `hidden beast` number, since 1 + 5 + 635 + 4 + 16 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1280494656 + 283046976 = 35784^2 + 16824^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167094 + ... + 176202.

Almost surely, 2^1563541632 is an apocalyptic number.

1563541632 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 1563541632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264973750).

1563541632 is an abundant number, since it is smaller than the sum of its proper divisors (2966405868).

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

1563541632 is a wasteful number, since it uses less digits than its factorization.

1563541632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9278 (or 9263 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 1563541632 is about 39541.6442753713. The cubic root of 1563541632 is about 1160.6550085892.

The spelling of 1563541632 in words is "one billion, five hundred sixty-three million, five hundred forty-one thousand, six hundred thirty-two".