564132351604100 has 18 divisors (see below), whose sum is σ = 1224167202981114. Its totient is φ = 225652940641600.

The previous prime is 564132351604061. The next prime is 564132351604147. The reversal of 564132351604100 is 1406153231465.

It can be written as a sum of positive squares in 3 ways, for example, as 3221716267396 + 560910635336704 = 1794914^2 + 23683552^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2820661757921 + ... + 2820661758120.

Almost surely, 2^{564132351604100} is an apocalyptic number.

564132351604100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

564132351604100 is an abundant number, since it is smaller than the sum of its proper divisors (660034851377014).

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

564132351604100 is a wasteful number, since it uses less digits than its factorization.

564132351604100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5641323516055 (or 5641323516048 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 564132351604100 in words is "five hundred sixty-four trillion, one hundred thirty-two billion, three hundred fifty-one million, six hundred four thousand, one hundred".