61411456506121 has 2 divisors, whose sum is σ = 61411456506122. Its totient is φ = 61411456506120.

The previous prime is 61411456506091. The next prime is 61411456506209. The reversal of 61411456506121 is 12160565411416.

61411456506121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42371455160896 + 19040001345225 = 6509336^2 + 4363485^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61411456506121 is a prime.

It is not a weakly prime, because it can be changed into another prime (61411456506721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30705728253060 + 30705728253061.

It is an arithmetic number, because the mean of its divisors is an integer number (30705728253061).

Almost surely, 2^{61411456506121} is an apocalyptic number.

It is an amenable number.

61411456506121 is a deficient number, since it is larger than the sum of its proper divisors (1).

61411456506121 is an equidigital number, since it uses as much as digits as its factorization.

61411456506121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 61411456506121 in words is "sixty-one trillion, four hundred eleven billion, four hundred fifty-six million, five hundred six thousand, one hundred twenty-one".