825261561 has 16 divisors (see below), whose sum is σ = 1286958400. Its totient is φ = 521217504.

The previous prime is 825261533. The next prime is 825261581. The reversal of 825261561 is 165162528.

825261561 is a `hidden beast` number, since 82 + 526 + 1 + 56 + 1 = 666.

It is not a de Polignac number, because 825261561 - 2⁵ = 825261529 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (825261511) 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 15 ways as a sum of consecutive naturals, for example, 803836 + ... + 804861.

It is an arithmetic number, because the mean of its divisors is an integer number (80434900).

Almost surely, 2^825261561 is an apocalyptic number.

It is an amenable number.

825261561 is a deficient number, since it is larger than the sum of its proper divisors (461696839).

825261561 is a wasteful number, since it uses less digits than its factorization.

825261561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608725 (or 1608719 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 825261561 is about 28727.3660644341. The cubic root of 825261561 is about 937.9878344280.

The spelling of 825261561 in words is "eight hundred twenty-five million, two hundred sixty-one thousand, five hundred sixty-one".