564142332125106 has 32 divisors (see below), whose sum is σ = 1432742430794880. Its totient is φ = 161183523464208.

The previous prime is 564142332125083. The next prime is 564142332125117. The reversal of 564142332125106 is 601521233241465.

564142332125106 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 423 + 3 + 212 + 5 + 1 + 0 + 6 = 666.

564142332125106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×564142332125106² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 746220015661 + ... + 746220016416.

It is an arithmetic number, because the mean of its divisors is an integer number (44773200962340).

Almost surely, 2^{564142332125106} is an apocalyptic number.

564142332125106 is an abundant number, since it is smaller than the sum of its proper divisors (868600098669774).

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

564142332125106 is a wasteful number, since it uses less digits than its factorization.

564142332125106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492440032095 (or 1492440032089 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 564142332125106 in words is "five hundred sixty-four trillion, one hundred forty-two billion, three hundred thirty-two million, one hundred twenty-five thousand, one hundred six".