25985131640001 has 32 divisors (see below), whose sum is σ = 40315610419200. Its totient is φ = 16726061704464.

The previous prime is 25985131639891. The next prime is 25985131640003. The reversal of 25985131640001 is 10004613158952.

It is a happy number.

25985131640001 is a `hidden beast` number, since 2 + 5 + 98 + 513 + 1 + 6 + 40 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 25985131640001 - 2²¹ = 25985129542849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25985131640003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204792321 + ... + 204919166.

It is an arithmetic number, because the mean of its divisors is an integer number (1259862825600).

Almost surely, 2^{25985131640001} is an apocalyptic number.

It is an amenable number.

25985131640001 is a deficient number, since it is larger than the sum of its proper divisors (14330478779199).

25985131640001 is an frugal number, since it uses more digits than its factorization.

25985131640001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409711537 (or 409711519 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

Adding to 25985131640001 its reverse (10004613158952), we get a palindrome (35989744798953).

The spelling of 25985131640001 in words is "twenty-five trillion, nine hundred eighty-five billion, one hundred thirty-one million, six hundred forty thousand, one".