55735311747617 has 2 divisors, whose sum is σ = 55735311747618. Its totient is φ = 55735311747616.

The previous prime is 55735311747571. The next prime is 55735311747629. The reversal of 55735311747617 is 71674711353755.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54165493197841 + 1569818549776 = 7359721^2 + 1252924^2 .

It is a cyclic number.

It is not a de Polignac number, because 55735311747617 - 2⁸ = 55735311747361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 55735311747617.

It is not a weakly prime, because it can be changed into another prime (55735311747667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27867655873808 + 27867655873809.

It is an arithmetic number, because the mean of its divisors is an integer number (27867655873809).

Almost surely, 2^{55735311747617} is an apocalyptic number.

It is an amenable number.

55735311747617 is a deficient number, since it is larger than the sum of its proper divisors (1).

55735311747617 is an equidigital number, since it uses as much as digits as its factorization.

55735311747617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 64827000, while the sum is 62.

The spelling of 55735311747617 in words is "fifty-five trillion, seven hundred thirty-five billion, three hundred eleven million, seven hundred forty-seven thousand, six hundred seventeen".