825075008172 has 72 divisors (see below), whose sum is σ = 2163344828736. Its totient is φ = 274962202128.

The previous prime is 825075008171. The next prime is 825075008183. The reversal of 825075008172 is 271800570528.

825075008172 is a `hidden beast` number, since 82 + 50 + 7 + 500 + 8 + 17 + 2 = 666.

It is a super-2 number, since 2×825075008172² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (825075008171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4262803 + ... + 4452149.

Almost surely, 2^825075008172 is an apocalyptic number.

It is an amenable number.

825075008172 is an abundant number, since it is smaller than the sum of its proper divisors (1338269820564).

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

825075008172 is a wasteful number, since it uses less digits than its factorization.

825075008172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193849 (or 193835 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 825075008172 in words is "eight hundred twenty-five billion, seventy-five million, eight thousand, one hundred seventy-two".