825075548532 has 36 divisors (see below), whose sum is σ = 2208290440356. Its totient is φ = 258847230720.

The previous prime is 825075548491. The next prime is 825075548533. The reversal of 825075548532 is 235845570528.

It is a happy number.

825075548532 is a `hidden beast` number, since 8 + 2 + 5 + 0 + 7 + 554 + 85 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 531957257316 + 293118291216 = 729354^2 + 541404^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825075548533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 674080719 + ... + 674081942.

It is an arithmetic number, because the mean of its divisors is an integer number (61341401121).

Almost surely, 2^825075548532 is an apocalyptic number.

It is an amenable number.

825075548532 is an abundant number, since it is smaller than the sum of its proper divisors (1383214891824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825075548532 is a wasteful number, since it uses less digits than its factorization.

825075548532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348162688 (or 1348162683 counting only the distinct ones).

The product of its (nonzero) digits is 13440000, while the sum is 54.

The spelling of 825075548532 in words is "eight hundred twenty-five billion, seventy-five million, five hundred forty-eight thousand, five hundred thirty-two".