73412625313 has 2 divisors, whose sum is σ = 73412625314. Its totient is φ = 73412625312.

The previous prime is 73412625301. The next prime is 73412625361. The reversal of 73412625313 is 31352621437.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72968596129 + 444029184 = 270127^2 + 21072^2 .

It is an emirp because it is prime and its reverse (31352621437) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73412625313 - 2²¹ = 73410528161 is a prime.

It is not a weakly prime, because it can be changed into another prime (73412625613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36706312656 + 36706312657.

It is an arithmetic number, because the mean of its divisors is an integer number (36706312657).

Almost surely, 2^73412625313 is an apocalyptic number.

It is an amenable number.

73412625313 is a deficient number, since it is larger than the sum of its proper divisors (1).

73412625313 is an equidigital number, since it uses as much as digits as its factorization.

73412625313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 90720, while the sum is 37.

The spelling of 73412625313 in words is "seventy-three billion, four hundred twelve million, six hundred twenty-five thousand, three hundred thirteen".