42585101 has 16 divisors (see below), whose sum is σ = 47475120. Its totient is φ = 37946880.

The previous prime is 42585083. The next prime is 42585107. The reversal of 42585101 is 10158524.

It can be written as a sum of positive squares in 8 ways, for example, as 139876 + 42445225 = 374^2 + 6515^2 .

It is a cyclic number.

It is not a de Polignac number, because 42585101 - 2¹⁴ = 42568717 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42585107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57731 + ... + 58463.

It is an arithmetic number, because the mean of its divisors is an integer number (2967195).

Almost surely, 2^42585101 is an apocalyptic number.

42585101 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42585101 is a deficient number, since it is larger than the sum of its proper divisors (4890019).

42585101 is a wasteful number, since it uses less digits than its factorization.

42585101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896.

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 42585101 is about 6525.7260898692. The cubic root of 42585101 is about 349.2093745611.

The spelling of 42585101 in words is "forty-two million, five hundred eighty-five thousand, one hundred one".