42528585 has 32 divisors (see below), whose sum is σ = 75359232. Its totient is φ = 20306880.

The previous prime is 42528581. The next prime is 42528589. The reversal of 42528585 is 58582524.

42528585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42528581) and next prime (42528589).

It is not a de Polignac number, because 42528585 - 2² = 42528581 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42528581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9132 + ... + 12978.

It is an arithmetic number, because the mean of its divisors is an integer number (2354976).

Almost surely, 2^42528585 is an apocalyptic number.

It is an amenable number.

42528585 is a deficient number, since it is larger than the sum of its proper divisors (32830647).

42528585 is a wasteful number, since it uses less digits than its factorization.

42528585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933.

The product of its digits is 128000, while the sum is 39.

The square root of 42528585 is about 6521.3944061067. The cubic root of 42528585 is about 349.0548239968.

The spelling of 42528585 in words is "forty-two million, five hundred twenty-eight thousand, five hundred eighty-five".