61121256041 has 2 divisors, whose sum is σ = 61121256042. Its totient is φ = 61121256040.

The previous prime is 61121255947. The next prime is 61121256061. The reversal of 61121256041 is 14065212116.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59592133225 + 1529122816 = 244115^2 + 39104^2 .

It is a cyclic number.

It is not a de Polignac number, because 61121256041 - 2¹⁴ = 61121239657 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 61121255995 and 61121256013.

It is not a weakly prime, because it can be changed into another prime (61121256061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30560628020 + 30560628021.

It is an arithmetic number, because the mean of its divisors is an integer number (30560628021).

Almost surely, 2^61121256041 is an apocalyptic number.

It is an amenable number.

61121256041 is a deficient number, since it is larger than the sum of its proper divisors (1).

61121256041 is an equidigital number, since it uses as much as digits as its factorization.

61121256041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 29.

Adding to 61121256041 its reverse (14065212116), we get a palindrome (75186468157).

The spelling of 61121256041 in words is "sixty-one billion, one hundred twenty-one million, two hundred fifty-six thousand, forty-one".