564136101 has 24 divisors (see below), whose sum is σ = 844155000. Its totient is φ = 362608512.

The previous prime is 564136063. The next prime is 564136117. The reversal of 564136101 is 101631465.

564136101 is a `hidden beast` number, since 5 + 6 + 41 + 3 + 610 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31911201 + 532224900 = 5649^2 + 23070^2 .

It is not a de Polignac number, because 564136101 - 2⁶ = 564136037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564136901) 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, 288475 + ... + 290423.

It is an arithmetic number, because the mean of its divisors is an integer number (35173125).

Almost surely, 2^564136101 is an apocalyptic number.

It is an amenable number.

564136101 is a deficient number, since it is larger than the sum of its proper divisors (280018899).

564136101 is a wasteful number, since it uses less digits than its factorization.

564136101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3093 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 564136101 is about 23751.5494441942. The cubic root of 564136101 is about 826.2813762505.

Adding to 564136101 its reverse (101631465), we get a palindrome (665767566).

The spelling of 564136101 in words is "five hundred sixty-four million, one hundred thirty-six thousand, one hundred one".