8292505951161 has 80 divisors (see below), whose sum is σ = 13177888289280. Its totient is φ = 5185114197120.

The previous prime is 8292505951133. The next prime is 8292505951211. The reversal of 8292505951161 is 1611595052928.

8292505951161 is a `hidden beast` number, since 8 + 29 + 2 + 50 + 59 + 511 + 6 + 1 = 666.

It is not a de Polignac number, because 8292505951161 - 2²¹ = 8292503854009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8292505951098 and 8292505951107.

It is not an unprimeable number, because it can be changed into a prime (8292505951061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 171880480 + ... + 171928718.

It is an arithmetic number, because the mean of its divisors is an integer number (164723603616).

Almost surely, 2^{8292505951161} is an apocalyptic number.

8292505951161 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8292505951161 is a deficient number, since it is larger than the sum of its proper divisors (4885382338119).

8292505951161 is a wasteful number, since it uses less digits than its factorization.

8292505951161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50068 (or 50059 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 54.

The spelling of 8292505951161 in words is "eight trillion, two hundred ninety-two billion, five hundred five million, nine hundred fifty-one thousand, one hundred sixty-one".