1563865938 has 48 divisors (see below), whose sum is σ = 3593467800. Its totient is φ = 489835008.

The previous prime is 1563865907. The next prime is 1563865949. The reversal of 1563865938 is 8395683651.

1563865938 is a `hidden beast` number, since 15 + 6 + 38 + 6 + 593 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1433152449 + 130713489 = 37857^2 + 11433^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203388 + ... + 210936.

Almost surely, 2^1563865938 is an apocalyptic number.

1563865938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1563865938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796733900).

1563865938 is an abundant number, since it is smaller than the sum of its proper divisors (2029601862).

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

1563865938 is a wasteful number, since it uses less digits than its factorization.

1563865938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8251 (or 8248 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 1563865938 is about 39545.7448785580. The cubic root of 1563865938 is about 1160.7352497873.

The spelling of 1563865938 in words is "one billion, five hundred sixty-three million, eight hundred sixty-five thousand, nine hundred thirty-eight".