825541364061 has 12 divisors (see below), whose sum is σ = 1221532750620. Its totient is φ = 536937472320.

The previous prime is 825541364047. The next prime is 825541364077. The reversal of 825541364061 is 160463145528.

825541364061 is a `hidden beast` number, since 8 + 2 + 5 + 541 + 3 + 6 + 40 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 385275938436 + 440265425625 = 620706^2 + 663525^2 .

It is not a de Polignac number, because 825541364061 - 2⁵ = 825541364029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 825541363998 and 825541364016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825541366061) 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 11 ways as a sum of consecutive naturals, for example, 1118619366 + ... + 1118620103.

It is an arithmetic number, because the mean of its divisors is an integer number (101794395885).

Almost surely, 2^825541364061 is an apocalyptic number.

It is an amenable number.

825541364061 is a deficient number, since it is larger than the sum of its proper divisors (395991386559).

825541364061 is a wasteful number, since it uses less digits than its factorization.

825541364061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237239516 (or 2237239513 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 825541364061 in words is "eight hundred twenty-five billion, five hundred forty-one million, three hundred sixty-four thousand, sixty-one".