825476488101 has 16 divisors (see below), whose sum is σ = 1226622790720. Its totient is φ = 548655061680.

The previous prime is 825476488099. The next prime is 825476488129. The reversal of 825476488101 is 101884674528.

825476488101 is a `hidden beast` number, since 8 + 2 + 54 + 7 + 6 + 488 + 101 = 666.

It is not a de Polignac number, because 825476488101 - 2¹ = 825476488099 is a prime.

It is a super-2 number, since 2×825476488101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825476488201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46174150 + ... + 46192023.

It is an arithmetic number, because the mean of its divisors is an integer number (76663924420).

Almost surely, 2^825476488101 is an apocalyptic number.

It is an amenable number.

825476488101 is a deficient number, since it is larger than the sum of its proper divisors (401146302619).

825476488101 is a wasteful number, since it uses less digits than its factorization.

825476488101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92366513 (or 92366507 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 825476488101 in words is "eight hundred twenty-five billion, four hundred seventy-six million, four hundred eighty-eight thousand, one hundred one".