726253137301733 has 2 divisors, whose sum is σ = 726253137301734. Its totient is φ = 726253137301732.

The previous prime is 726253137301723. The next prime is 726253137301799. The reversal of 726253137301733 is 337103731352627.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 453220541706529 + 273032595595204 = 21288977^2 + 16523698^2 .

It is a cyclic number.

It is not a de Polignac number, because 726253137301733 - 2¹⁴ = 726253137285349 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (726253137301723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363126568650866 + 363126568650867.

It is an arithmetic number, because the mean of its divisors is an integer number (363126568650867).

Almost surely, 2^{726253137301733} is an apocalyptic number.

It is an amenable number.

726253137301733 is a deficient number, since it is larger than the sum of its proper divisors (1).

726253137301733 is an equidigital number, since it uses as much as digits as its factorization.

726253137301733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10001880, while the sum is 53.

The spelling of 726253137301733 in words is "seven hundred twenty-six trillion, two hundred fifty-three billion, one hundred thirty-seven million, three hundred one thousand, seven hundred thirty-three".