563689152 has 224 divisors, whose sum is σ = 1863912960. Its totient is φ = 165749760.

The previous prime is 563689099. The next prime is 563689171. The reversal of 563689152 is 251986365.

563689152 is a `hidden beast` number, since 5 + 636 + 8 + 9 + 1 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 563689098 and 563689107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516127 + ... + 517217.

It is an arithmetic number, because the mean of its divisors is an integer number (8321040).

Almost surely, 2^563689152 is an apocalyptic number.

563689152 is a gapful number since it is divisible by the number (52) 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 563689152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931956480).

563689152 is an abundant number, since it is smaller than the sum of its proper divisors (1300223808).

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

563689152 is a wasteful number, since it uses less digits than its factorization.

563689152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1132 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 563689152 is about 23742.1387410654. The cubic root of 563689152 is about 826.0631055133.

The spelling of 563689152 in words is "five hundred sixty-three million, six hundred eighty-nine thousand, one hundred fifty-two".