1563613488 has 240 divisors, whose sum is σ = 4853680416. Its totient is φ = 467804160.

The previous prime is 1563613487. The next prime is 1563613501. The reversal of 1563613488 is 8843163651.

1563613488 is a `hidden beast` number, since 1 + 5 + 636 + 1 + 3 + 4 + 8 + 8 = 666.

It is a super-2 number, since 2×1563613488² = 4889774279711052288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1563613483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5524995 + ... + 5525277.

Almost surely, 2^1563613488 is an apocalyptic number.

1563613488 is a gapful number since it is divisible by the number (18) 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 1563613488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426840208).

1563613488 is an abundant number, since it is smaller than the sum of its proper divisors (3290066928).

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

1563613488 is a wasteful number, since it uses less digits than its factorization.

1563613488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 403 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1563613488 is about 39542.5528766164. The cubic root of 1563613488 is about 1160.6727884694.

The spelling of 1563613488 in words is "one billion, five hundred sixty-three million, six hundred thirteen thousand, four hundred eighty-eight".