825541124625 has 768 divisors, whose sum is σ = 2011796766720. Its totient is φ = 316414771200.

The previous prime is 825541124623. The next prime is 825541124647. The reversal of 825541124625 is 526421145528.

825541124625 is a `hidden beast` number, since 8 + 2 + 5 + 5 + 4 + 1 + 12 + 4 + 625 = 666.

It is not a de Polignac number, because 825541124625 - 2¹ = 825541124623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (825541124623) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 6025847557 + ... + 6025847693.

It is an arithmetic number, because the mean of its divisors is an integer number (2619527040).

Almost surely, 2^825541124625 is an apocalyptic number.

825541124625 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

825541124625 is an abundant number, since it is smaller than the sum of its proper divisors (1186255642095).

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

825541124625 is a wasteful number, since it uses less digits than its factorization.

825541124625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 314 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The spelling of 825541124625 in words is "eight hundred twenty-five billion, five hundred forty-one million, one hundred twenty-four thousand, six hundred twenty-five".