42585752402175 has 48 divisors (see below), whose sum is σ = 70513747759872. Its totient is φ = 22678453459200.

The previous prime is 42585752402117. The next prime is 42585752402177. The reversal of 42585752402175 is 57120425758524.

It is a Cunningham number, because it is equal to 6525776²-1.

It is not a de Polignac number, because 42585752402175 - 2⁶ = 42585752402111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42585752402177) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163013910 + ... + 163274940.

It is an arithmetic number, because the mean of its divisors is an integer number (1469036411664).

Almost surely, 2^{42585752402175} is an apocalyptic number.

42585752402175 is a deficient number, since it is larger than the sum of its proper divisors (27927995357697).

42585752402175 is a wasteful number, since it uses less digits than its factorization.

42585752402175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264288 (or 264283 counting only the distinct ones).

The product of its (nonzero) digits is 31360000, while the sum is 57.

The spelling of 42585752402175 in words is "forty-two trillion, five hundred eighty-five billion, seven hundred fifty-two million, four hundred two thousand, one hundred seventy-five".