83117753408561 has 2 divisors, whose sum is σ = 83117753408562. Its totient is φ = 83117753408560.

The previous prime is 83117753408551. The next prime is 83117753408663. The reversal of 83117753408561 is 16580435771138.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64775857239025 + 18341896169536 = 8048345^2 + 4282744^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83117753408561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83117753408561.

It is not a weakly prime, because it can be changed into another prime (83117753408551) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41558876704280 + 41558876704281.

It is an arithmetic number, because the mean of its divisors is an integer number (41558876704281).

Almost surely, 2^{83117753408561} is an apocalyptic number.

It is an amenable number.

83117753408561 is a deficient number, since it is larger than the sum of its proper divisors (1).

83117753408561 is an equidigital number, since it uses as much as digits as its factorization.

83117753408561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16934400, while the sum is 59.

The spelling of 83117753408561 in words is "eighty-three trillion, one hundred seventeen billion, seven hundred fifty-three million, four hundred eight thousand, five hundred sixty-one".