61368255526349 has 2 divisors, whose sum is σ = 61368255526350. Its totient is φ = 61368255526348.

The previous prime is 61368255526183. The next prime is 61368255526363. The reversal of 61368255526349 is 94362555286316.

61368255526349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31446097413124 + 29922158113225 = 5607682^2 + 5470115^2 .

It is a cyclic number.

It is not a de Polignac number, because 61368255526349 - 2²⁴ = 61368238749133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61368255526649) 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, 30684127763174 + 30684127763175.

It is an arithmetic number, because the mean of its divisors is an integer number (30684127763175).

Almost surely, 2^{61368255526349} is an apocalyptic number.

It is an amenable number.

61368255526349 is a deficient number, since it is larger than the sum of its proper divisors (1).

61368255526349 is an equidigital number, since it uses as much as digits as its factorization.

61368255526349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 279936000, while the sum is 65.

The spelling of 61368255526349 in words is "sixty-one trillion, three hundred sixty-eight billion, two hundred fifty-five million, five hundred twenty-six thousand, three hundred forty-nine".