825068961 has 6 divisors (see below), whose sum is σ = 1191766290. Its totient is φ = 550045968.

The previous prime is 825068917. The next prime is 825068963. The reversal of 825068961 is 169860528.

825068961 is a `hidden beast` number, since 8 + 2 + 506 + 89 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 677300625 + 147768336 = 26025^2 + 12156^2 .

It is not a de Polignac number, because 825068961 - 2¹⁷ = 824937889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825068963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45837156 + ... + 45837173.

It is an arithmetic number, because the mean of its divisors is an integer number (198627715).

Almost surely, 2^825068961 is an apocalyptic number.

It is an amenable number.

825068961 is a deficient number, since it is larger than the sum of its proper divisors (366697329).

825068961 is a wasteful number, since it uses less digits than its factorization.

825068961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91674335 (or 91674332 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 825068961 is about 28724.0136645282. The cubic root of 825068961 is about 937.9148593774.

The spelling of 825068961 in words is "eight hundred twenty-five million, sixty-eight thousand, nine hundred sixty-one".