825795827325 has 288 divisors, whose sum is σ = 1767886848000. Its totient is φ = 360557568000.

The previous prime is 825795827309. The next prime is 825795827341. The reversal of 825795827325 is 523728597528.

825795827325 is a `hidden beast` number, since 8 + 2 + 579 + 5 + 8 + 27 + 32 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (825795827309) and next prime (825795827341).

It is not a de Polignac number, because 825795827325 - 2⁴ = 825795827309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1839188701 + ... + 1839189149.

It is an arithmetic number, because the mean of its divisors is an integer number (6138496000).

Almost surely, 2^825795827325 is an apocalyptic number.

It is an amenable number.

825795827325 is an abundant number, since it is smaller than the sum of its proper divisors (942091020675).

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

825795827325 is a wasteful number, since it uses less digits than its factorization.

825795827325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 905 counting only the distinct ones).

The product of its digits is 84672000, while the sum is 63.

The spelling of 825795827325 in words is "eight hundred twenty-five billion, seven hundred ninety-five million, eight hundred twenty-seven thousand, three hundred twenty-five".