42585570113 has 2 divisors, whose sum is σ = 42585570114. Its totient is φ = 42585570112.

The previous prime is 42585570107. The next prime is 42585570151. The reversal of 42585570113 is 31107558524.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23631990529 + 18953579584 = 153727^2 + 137672^2 .

It is a cyclic number.

It is not a de Polignac number, because 42585570113 - 2¹⁴ = 42585553729 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (42585570193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21292785056 + 21292785057.

It is an arithmetic number, because the mean of its divisors is an integer number (21292785057).

Almost surely, 2^42585570113 is an apocalyptic number.

It is an amenable number.

42585570113 is a deficient number, since it is larger than the sum of its proper divisors (1).

42585570113 is an equidigital number, since it uses as much as digits as its factorization.

42585570113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168000, while the sum is 41.

The spelling of 42585570113 in words is "forty-two billion, five hundred eighty-five million, five hundred seventy thousand, one hundred thirteen".