82124432561 has 2 divisors, whose sum is σ = 82124432562. Its totient is φ = 82124432560.

The previous prime is 82124432543. The next prime is 82124432567. The reversal of 82124432561 is 16523442128.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50644801936 + 31479630625 = 225044^2 + 177425^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82124432561 is a prime.

It is not a weakly prime, because it can be changed into another prime (82124432567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41062216280 + 41062216281.

It is an arithmetic number, because the mean of its divisors is an integer number (41062216281).

Almost surely, 2^82124432561 is an apocalyptic number.

It is an amenable number.

82124432561 is a deficient number, since it is larger than the sum of its proper divisors (1).

82124432561 is an equidigital number, since it uses as much as digits as its factorization.

82124432561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 92160, while the sum is 38.

Adding to 82124432561 its reverse (16523442128), we get a palindrome (98647874689).

The spelling of 82124432561 in words is "eighty-two billion, one hundred twenty-four million, four hundred thirty-two thousand, five hundred sixty-one".