2585688825041 has 8 divisors (see below), whose sum is σ = 2999178509760. Its totient is φ = 2183225532048.

The previous prime is 2585688825029. The next prime is 2585688825053. The reversal of 2585688825041 is 1405288865852.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2585688825029) and next prime (2585688825053).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2585688825041 - 2¹⁴ = 2585688808657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2585688825001) 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 in 7 ways as a sum of consecutive naturals, for example, 2756597426 + ... + 2756598363.

It is an arithmetic number, because the mean of its divisors is an integer number (374897313720).

Almost surely, 2^{2585688825041} is an apocalyptic number.

It is an amenable number.

2585688825041 is a deficient number, since it is larger than the sum of its proper divisors (413489684719).

2585688825041 is an equidigital number, since it uses as much as digits as its factorization.

2585688825041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5513195863.

The product of its (nonzero) digits is 49152000, while the sum is 62.

The spelling of 2585688825041 in words is "two trillion, five hundred eighty-five billion, six hundred eighty-eight million, eight hundred twenty-five thousand, forty-one".