1563886116 has 105 divisors (see below), whose sum is σ = 4428999421. Its totient is φ = 481195728.

The previous prime is 1563886087. The next prime is 1563886123. The reversal of 1563886116 is 6116883651.

The square root of 1563886116 is 39546.

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

1563886116 is a `hidden beast` number, since 1 + 5 + 638 + 8 + 6 + 1 + 1 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1341756900 + 222129216 = 36630^2 + 14904^2 .

It is a Duffinian number.

Its product of digits (207360) is a multiple of the sum of its prime divisors (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 120298926 + ... + 120298938.

Almost surely, 2^1563886116 is an apocalyptic number.

1563886116 is the 39546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1563886116

1563886116 is an abundant number, since it is smaller than the sum of its proper divisors (2865113305).

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

1563886116 is an frugal number, since it uses more digits than its factorization.

1563886116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 18 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The cubic root of 1563886116 is about 1160.7402419491.

The spelling of 1563886116 in words is "one billion, five hundred sixty-three million, eight hundred eighty-six thousand, one hundred sixteen".