564513000 has 64 divisors (see below), whose sum is σ = 1761289920. Its totient is φ = 150536000.

The previous prime is 564512957. The next prime is 564513029. The reversal of 564513000 is 315465.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91086 + ... + 97085.

It is an arithmetic number, because the mean of its divisors is an integer number (27520155).

Almost surely, 2^564513000 is an apocalyptic number.

564513000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

564513000 is an abundant number, since it is smaller than the sum of its proper divisors (1196776920).

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

564513000 is a wasteful number, since it uses less digits than its factorization.

564513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188195 (or 188181 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 564513000 is about 23759.4823175927. The cubic root of 564513000 is about 826.4653479879.

Adding to 564513000 its reverse (315465), we get a palindrome (564828465).

The spelling of 564513000 in words is "five hundred sixty-four million, five hundred thirteen thousand".