563932512 has 144 divisors (see below), whose sum is σ = 1884184848. Its totient is φ = 157731840.

The previous prime is 563932511. The next prime is 563932543. The reversal of 563932512 is 215239365.

563932512 is a `hidden beast` number, since 5 + 639 + 3 + 2 + 5 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563932511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34338 + ... + 48030.

It is an arithmetic number, because the mean of its divisors is an integer number (13084617).

Almost surely, 2^563932512 is an apocalyptic number.

563932512 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 563932512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942092424).

563932512 is an abundant number, since it is smaller than the sum of its proper divisors (1320252336).

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

563932512 is a wasteful number, since it uses less digits than its factorization.

563932512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13733 (or 13722 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 563932512 is about 23747.2632528466. The cubic root of 563932512 is about 826.1819664100.

The spelling of 563932512 in words is "five hundred sixty-three million, nine hundred thirty-two thousand, five hundred twelve".