25511626161 has 64 divisors (see below), whose sum is σ = 44087293440. Its totient is φ = 14277669120.

The previous prime is 25511626141. The next prime is 25511626201. The reversal of 25511626161 is 16162611552.

25511626161 is a `hidden beast` number, since 2 + 5 + 5 + 11 + 626 + 16 + 1 = 666.

It is not a de Polignac number, because 25511626161 - 2⁷ = 25511626033 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (25511626141) 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 63 ways as a sum of consecutive naturals, for example, 6619311 + ... + 6623163.

It is an arithmetic number, because the mean of its divisors is an integer number (688863960).

Almost surely, 2^25511626161 is an apocalyptic number.

25511626161 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

25511626161 is a deficient number, since it is larger than the sum of its proper divisors (18575667279).

25511626161 is a wasteful number, since it uses less digits than its factorization.

25511626161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4583 (or 4577 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The spelling of 25511626161 in words is "twenty-five billion, five hundred eleven million, six hundred twenty-six thousand, one hundred sixty-one".