73130710111577 has 2 divisors, whose sum is σ = 73130710111578. Its totient is φ = 73130710111576.

The previous prime is 73130710111517. The next prime is 73130710111619. The reversal of 73130710111577 is 77511101703137.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57517495872841 + 15613214238736 = 7584029^2 + 3951356^2 .

It is a cyclic number.

It is not a de Polignac number, because 73130710111577 - 2¹⁶ = 73130710046041 is a prime.

It is a super-3 number, since 3×73130710111577³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (73130710111517) 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, 36565355055788 + 36565355055789.

It is an arithmetic number, because the mean of its divisors is an integer number (36565355055789).

Almost surely, 2^{73130710111577} is an apocalyptic number.

It is an amenable number.

73130710111577 is a deficient number, since it is larger than the sum of its proper divisors (1).

73130710111577 is an equidigital number, since it uses as much as digits as its factorization.

73130710111577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108045, while the sum is 44.

The spelling of 73130710111577 in words is "seventy-three trillion, one hundred thirty billion, seven hundred ten million, one hundred eleven thousand, five hundred seventy-seven".