564204141 has 24 divisors (see below), whose sum is σ = 826049016. Its totient is φ = 371051520.

The previous prime is 564204131. The next prime is 564204163. The reversal of 564204141 is 141402465.

564204141 is a `hidden beast` number, since 5 + 642 + 0 + 4 + 14 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115992900 + 448211241 = 10770^2 + 21171^2 .

It is not a de Polignac number, because 564204141 - 2⁷ = 564204013 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564204131) 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, 235771 + ... + 238151.

It is an arithmetic number, because the mean of its divisors is an integer number (34418709).

Almost surely, 2^564204141 is an apocalyptic number.

It is an amenable number.

564204141 is a deficient number, since it is larger than the sum of its proper divisors (261844875).

564204141 is a wasteful number, since it uses less digits than its factorization.

564204141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 564204141 is about 23752.9817286167. The cubic root of 564204141 is about 826.3145939585.

The spelling of 564204141 in words is "five hundred sixty-four million, two hundred four thousand, one hundred forty-one".