1563132816 has 200 divisors, whose sum is σ = 5269644864. Its totient is φ = 438048000.

The previous prime is 1563132803. The next prime is 1563132817. The reversal of 1563132816 is 6182313651.

1563132816 is a `hidden beast` number, since 1 + 5 + 631 + 3 + 2 + 8 + 16 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1563132817) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 479191 + ... + 482441.

Almost surely, 2^1563132816 is an apocalyptic number.

1563132816 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 1563132816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634822432).

1563132816 is an abundant number, since it is smaller than the sum of its proper divisors (3706512048).

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

1563132816 is a wasteful number, since it uses less digits than its factorization.

1563132816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3316 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1563132816 is about 39536.4745014019. The cubic root of 1563132816 is about 1160.5538417490.

The spelling of 1563132816 in words is "one billion, five hundred sixty-three million, one hundred thirty-two thousand, eight hundred sixteen".