61605828809359 has 2 divisors, whose sum is σ = 61605828809360. Its totient is φ = 61605828809358.

The previous prime is 61605828809297. The next prime is 61605828809417. The reversal of 61605828809359 is 95390882850616.

It is a happy number.

61605828809359 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61605828809359 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61605828809059) 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, 30802914404679 + 30802914404680.

It is an arithmetic number, because the mean of its divisors is an integer number (30802914404680).

Almost surely, 2^{61605828809359} is an apocalyptic number.

61605828809359 is a deficient number, since it is larger than the sum of its proper divisors (1).

61605828809359 is an equidigital number, since it uses as much as digits as its factorization.

61605828809359 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 223948800, while the sum is 70.

The spelling of 61605828809359 in words is "sixty-one trillion, six hundred five billion, eight hundred twenty-eight million, eight hundred nine thousand, three hundred fifty-nine".