6825610161 has 24 divisors (see below), whose sum is σ = 10090211040. Its totient is φ = 4445027136.

The previous prime is 6825610097. The next prime is 6825610213. The reversal of 6825610161 is 1610165286.

6825610161 is a `hidden beast` number, since 6 + 8 + 25 + 610 + 16 + 1 = 666.

It is not a de Polignac number, because 6825610161 - 2⁶ = 6825610097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6825610361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15150 + ... + 117816.

It is an arithmetic number, because the mean of its divisors is an integer number (420425460).

Almost surely, 2^6825610161 is an apocalyptic number.

It is an amenable number.

6825610161 is a deficient number, since it is larger than the sum of its proper divisors (3264600879).

6825610161 is a wasteful number, since it uses less digits than its factorization.

6825610161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102845 (or 102842 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 6825610161 is about 82617.2509891245. The cubic root of 6825610161 is about 1896.9118959414.

The spelling of 6825610161 in words is "six billion, eight hundred twenty-five million, six hundred ten thousand, one hundred sixty-one".