8123892692561 has 2 divisors, whose sum is σ = 8123892692562. Its totient is φ = 8123892692560.

The previous prime is 8123892692527. The next prime is 8123892692639. The reversal of 8123892692561 is 1652962983218.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5080155366400 + 3043737326161 = 2253920^2 + 1744631^2 .

It is a cyclic number.

It is not a de Polignac number, because 8123892692561 - 2¹⁸ = 8123892430417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8123892692494 and 8123892692503.

It is not a weakly prime, because it can be changed into another prime (8123892602561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4061946346280 + 4061946346281.

It is an arithmetic number, because the mean of its divisors is an integer number (4061946346281).

Almost surely, 2^{8123892692561} is an apocalyptic number.

It is an amenable number.

8123892692561 is a deficient number, since it is larger than the sum of its proper divisors (1).

8123892692561 is an equidigital number, since it uses as much as digits as its factorization.

8123892692561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22394880, while the sum is 62.

The spelling of 8123892692561 in words is "eight trillion, one hundred twenty-three billion, eight hundred ninety-two million, six hundred ninety-two thousand, five hundred sixty-one".