73159509601 has 2 divisors, whose sum is σ = 73159509602. Its totient is φ = 73159509600.

The previous prime is 73159509583. The next prime is 73159509607. The reversal of 73159509601 is 10690595137.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45454240000 + 27705269601 = 213200^2 + 166449^2 .

It is a cyclic number.

It is not a de Polignac number, because 73159509601 - 2¹³ = 73159501409 is a prime.

It is a super-2 number, since 2×73159509601² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (73159509607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36579754800 + 36579754801.

It is an arithmetic number, because the mean of its divisors is an integer number (36579754801).

Almost surely, 2^73159509601 is an apocalyptic number.

It is an amenable number.

73159509601 is a deficient number, since it is larger than the sum of its proper divisors (1).

73159509601 is an equidigital number, since it uses as much as digits as its factorization.

73159509601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 255150, while the sum is 46.

The spelling of 73159509601 in words is "seventy-three billion, one hundred fifty-nine million, five hundred nine thousand, six hundred one".