42585752402177 has 2 divisors, whose sum is σ = 42585752402178. Its totient is φ = 42585752402176.

The previous prime is 42585752402117. The next prime is 42585752402189. The reversal of 42585752402177 is 77120425758524.

It is a happy number.

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

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42585752402176 + 1 = 6525776^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 42585752402177 - 2²⁰ = 42585751353601 is a prime.

It is not a weakly prime, because it can be changed into another prime (42585752402117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21292876201088 + 21292876201089.

It is an arithmetic number, because the mean of its divisors is an integer number (21292876201089).

Almost surely, 2^{42585752402177} is an apocalyptic number.

It is an amenable number.

42585752402177 is a deficient number, since it is larger than the sum of its proper divisors (1).

42585752402177 is an equidigital number, since it uses as much as digits as its factorization.

42585752402177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43904000, while the sum is 59.

The spelling of 42585752402177 in words is "forty-two trillion, five hundred eighty-five billion, seven hundred fifty-two million, four hundred two thousand, one hundred seventy-seven".