61642968710417 has 2 divisors, whose sum is σ = 61642968710418. Its totient is φ = 61642968710416.

The previous prime is 61642968710377. The next prime is 61642968710423. The reversal of 61642968710417 is 71401786924616.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31998526412176 + 29644442298241 = 5656724^2 + 5444671^2 .

It is a cyclic number.

It is not a de Polignac number, because 61642968710417 - 2²⁴ = 61642951933201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61642968710417.

It is not a weakly prime, because it can be changed into another prime (61642968710447) 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, 30821484355208 + 30821484355209.

It is an arithmetic number, because the mean of its divisors is an integer number (30821484355209).

Almost surely, 2^{61642968710417} is an apocalyptic number.

It is an amenable number.

61642968710417 is a deficient number, since it is larger than the sum of its proper divisors (1).

61642968710417 is an equidigital number, since it uses as much as digits as its factorization.

61642968710417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24385536, while the sum is 62.

The spelling of 61642968710417 in words is "sixty-one trillion, six hundred forty-two billion, nine hundred sixty-eight million, seven hundred ten thousand, four hundred seventeen".