825161911101 has 64 divisors (see below), whose sum is σ = 1371495075840. Its totient is φ = 485922265920.

The previous prime is 825161911039. The next prime is 825161911117. The reversal of 825161911101 is 101119161528.

825161911101 is a `hidden beast` number, since 8 + 25 + 1 + 619 + 1 + 1 + 10 + 1 = 666.

It is not a de Polignac number, because 825161911101 - 2⁷ = 825161910973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825161911121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8114296 + ... + 8215358.

It is an arithmetic number, because the mean of its divisors is an integer number (21429610560).

Almost surely, 2^825161911101 is an apocalyptic number.

It is an amenable number.

825161911101 is a deficient number, since it is larger than the sum of its proper divisors (546333164739).

825161911101 is a wasteful number, since it uses less digits than its factorization.

825161911101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101863 (or 101857 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 36.

The spelling of 825161911101 in words is "eight hundred twenty-five billion, one hundred sixty-one million, nine hundred eleven thousand, one hundred one".