61279046561 has 2 divisors, whose sum is σ = 61279046562. Its totient is φ = 61279046560.

The previous prime is 61279046503. The next prime is 61279046659. The reversal of 61279046561 is 16564097216.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55298344336 + 5980702225 = 235156^2 + 77335^2 .

It is a cyclic number.

It is not a de Polignac number, because 61279046561 - 2¹⁸ = 61278784417 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (61279046161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30639523280 + 30639523281.

It is an arithmetic number, because the mean of its divisors is an integer number (30639523281).

Almost surely, 2^61279046561 is an apocalyptic number.

It is an amenable number.

61279046561 is a deficient number, since it is larger than the sum of its proper divisors (1).

61279046561 is an equidigital number, since it uses as much as digits as its factorization.

61279046561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 61279046561 in words is "sixty-one billion, two hundred seventy-nine million, forty-six thousand, five hundred sixty-one".