1563116040 has 96 divisors (see below), whose sum is σ = 5093389080. Its totient is φ = 415742976.

The previous prime is 1563116039. The next prime is 1563116057. The reversal of 1563116040 is 406113651.

1563116040 is a `hidden beast` number, since 1 + 56 + 3 + 1 + 1 + 604 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1550626884 + 12489156 = 39378^2 + 3534^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1563115995 and 1563116013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137452 + ... + 148388.

Almost surely, 2^1563116040 is an apocalyptic number.

1563116040 is a gapful number since it is divisible by the number (10) 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 1563116040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546694540).

1563116040 is an abundant number, since it is smaller than the sum of its proper divisors (3530273040).

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

1563116040 is a wasteful number, since it uses less digits than its factorization.

1563116040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11351 (or 11344 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1563116040 is about 39536.2623423105. The cubic root of 1563116040 is about 1160.5496899327.

Adding to 1563116040 its reverse (406113651), we get a palindrome (1969229691).

The spelling of 1563116040 in words is "one billion, five hundred sixty-three million, one hundred sixteen thousand, forty".