73441665313 has 2 divisors, whose sum is σ = 73441665314. Its totient is φ = 73441665312.

The previous prime is 73441665251. The next prime is 73441665329. The reversal of 73441665313 is 31356614437.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48546190224 + 24895475089 = 220332^2 + 157783^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-73441665313 is a prime.

It is a super-4 number, since 4×73441665313⁴ (a number of 45 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73441665313.

It is not a weakly prime, because it can be changed into another prime (73441665343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36720832656 + 36720832657.

It is an arithmetic number, because the mean of its divisors is an integer number (36720832657).

Almost surely, 2^73441665313 is an apocalyptic number.

It is an amenable number.

73441665313 is a deficient number, since it is larger than the sum of its proper divisors (1).

73441665313 is an equidigital number, since it uses as much as digits as its factorization.

73441665313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 544320, while the sum is 43.

The spelling of 73441665313 in words is "seventy-three billion, four hundred forty-one million, six hundred sixty-five thousand, three hundred thirteen".