61729616055461 has 2 divisors, whose sum is σ = 61729616055462. Its totient is φ = 61729616055460.

The previous prime is 61729616055391. The next prime is 61729616055473. The reversal of 61729616055461 is 16455061692716.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30864858028225 + 30864758027236 = 5555615^2 + 5555606^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61729616055461 is a prime.

It is a super-3 number, since 3×61729616055461³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61729616055461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61729616055161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30864808027730 + 30864808027731.

It is an arithmetic number, because the mean of its divisors is an integer number (30864808027731).

Almost surely, 2^{61729616055461} is an apocalyptic number.

It is an amenable number.

61729616055461 is a deficient number, since it is larger than the sum of its proper divisors (1).

61729616055461 is an equidigital number, since it uses as much as digits as its factorization.

61729616055461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16329600, while the sum is 59.

The spelling of 61729616055461 in words is "sixty-one trillion, seven hundred twenty-nine billion, six hundred sixteen million, fifty-five thousand, four hundred sixty-one".