825893828179425 has 72 divisors (see below), whose sum is σ = 1513735236842400. Its totient is φ = 430214289845760.

The previous prime is 825893828179423. The next prime is 825893828179517. The reversal of 825893828179425 is 524971828398528.

825893828179425 is a `hidden beast` number, since 8 + 2 + 5 + 89 + 38 + 2 + 81 + 7 + 9 + 425 = 666.

It is not a de Polignac number, because 825893828179425 - 2¹ = 825893828179423 is a prime.

It is not an unprimeable number, because it can be changed into a prime (825893828179421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 221244841 + ... + 224946809.

It is an arithmetic number, because the mean of its divisors is an integer number (21024100511700).

Almost surely, 2^{825893828179425} is an apocalyptic number.

It is an amenable number.

825893828179425 is a deficient number, since it is larger than the sum of its proper divisors (687841408662975).

825893828179425 is a wasteful number, since it uses less digits than its factorization.

825893828179425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725087 (or 3725079 counting only the distinct ones).

The product of its digits is 5573836800, while the sum is 81.

The spelling of 825893828179425 in words is "eight hundred twenty-five trillion, eight hundred ninety-three billion, eight hundred twenty-eight million, one hundred seventy-nine thousand, four hundred twenty-five".