1563516416 has 80 divisors (see below), whose sum is σ = 3894929280. Its totient is φ = 609146880.

The previous prime is 1563516407. The next prime is 1563516433. The reversal of 1563516416 is 6146153651.

It is a self number, because there is not a number n which added to its sum of digits gives 1563516416.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 19595 + ... + 59253.

It is an arithmetic number, because the mean of its divisors is an integer number (48686616).

Almost surely, 2^1563516416 is an apocalyptic number.

1563516416 is a gapful number since it is divisible by the number (16) 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 1563516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947464640).

1563516416 is an abundant number, since it is smaller than the sum of its proper divisors (2331412864).

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

1563516416 is an equidigital number, since it uses as much as digits as its factorization.

1563516416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39695 (or 39679 counting only the distinct ones).

The product of its digits is 64800, while the sum is 38.

The square root of 1563516416 is about 39541.3254203751. The cubic root of 1563516416 is about 1160.6487690721.

The spelling of 1563516416 in words is "one billion, five hundred sixty-three million, five hundred sixteen thousand, four hundred sixteen".