564013000 has 32 divisors (see below), whose sum is σ = 1319792760. Its totient is φ = 225604800.

The previous prime is 564012991. The next prime is 564013001. The reversal of 564013000 is 310465.

It can be written as a sum of positive squares in 4 ways, for example, as 139570596 + 424442404 = 11814^2 + 20602^2 .

It is a super-2 number, since 2×564013000² = 636221328338000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (564013001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281007 + ... + 283006.

Almost surely, 2^564013000 is an apocalyptic number.

564013000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

564013000 is an abundant number, since it is smaller than the sum of its proper divisors (755779760).

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

564013000 is a wasteful number, since it uses less digits than its factorization.

564013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564034 (or 564020 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 564013000 is about 23748.9578718730. The cubic root of 564013000 is about 826.2212705048.

Adding to 564013000 its reverse (310465), we get a palindrome (564323465).

The spelling of 564013000 in words is "five hundred sixty-four million, thirteen thousand".