61133045761 has 2 divisors, whose sum is σ = 61133045762. Its totient is φ = 61133045760.

The previous prime is 61133045741. The next prime is 61133045801. The reversal of 61133045761 is 16754033116.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58148499600 + 2984546161 = 241140^2 + 54631^2 .

It is a cyclic number.

It is not a de Polignac number, because 61133045761 - 2²¹ = 61130948609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61133045761.

It is not a weakly prime, because it can be changed into another prime (61133045731) 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, 30566522880 + 30566522881.

It is an arithmetic number, because the mean of its divisors is an integer number (30566522881).

Almost surely, 2^61133045761 is an apocalyptic number.

It is an amenable number.

61133045761 is a deficient number, since it is larger than the sum of its proper divisors (1).

61133045761 is an equidigital number, since it uses as much as digits as its factorization.

61133045761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 37.

Adding to 61133045761 its reverse (16754033116), we get a palindrome (77887078877).

The spelling of 61133045761 in words is "sixty-one billion, one hundred thirty-three million, forty-five thousand, seven hundred sixty-one".