49959588513617 has 2 divisors, whose sum is σ = 49959588513618. Its totient is φ = 49959588513616.

The previous prime is 49959588513503. The next prime is 49959588513697. The reversal of 49959588513617 is 71631588595994.

49959588513617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (49959588513697) can be obtained adding 49959588513617 to its sum of digits (80).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48896790405376 + 1062798108241 = 6992624^2 + 1030921^2 .

It is a cyclic number.

It is not a de Polignac number, because 49959588513617 - 2¹² = 49959588509521 is a prime.

It is not a weakly prime, because it can be changed into another prime (49959588513697) 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, 24979794256808 + 24979794256809.

It is an arithmetic number, because the mean of its divisors is an integer number (24979794256809).

Almost surely, 2^{49959588513617} is an apocalyptic number.

It is an amenable number.

49959588513617 is a deficient number, since it is larger than the sum of its proper divisors (1).

49959588513617 is an equidigital number, since it uses as much as digits as its factorization.

49959588513617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2939328000, while the sum is 80.

The spelling of 49959588513617 in words is "forty-nine trillion, nine hundred fifty-nine billion, five hundred eighty-eight million, five hundred thirteen thousand, six hundred seventeen".