726253133107457 has 2 divisors, whose sum is σ = 726253133107458. Its totient is φ = 726253133107456.

The previous prime is 726253133107417. The next prime is 726253133107531. The reversal of 726253133107457 is 754701331352627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 631675932650896 + 94577200456561 = 25133164^2 + 9725081^2 .

It is an emirp because it is prime and its reverse (754701331352627) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 726253133107457 - 2⁴⁰ = 725153621479681 is a prime.

It is a super-2 number, since 2×726253133107457² (a number of 31 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (726253133107417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 363126566553728 + 363126566553729.

It is an arithmetic number, because the mean of its divisors is an integer number (363126566553729).

Almost surely, 2^{726253133107457} is an apocalyptic number.

It is an amenable number.

726253133107457 is a deficient number, since it is larger than the sum of its proper divisors (1).

726253133107457 is an equidigital number, since it uses as much as digits as its factorization.

726253133107457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22226400, while the sum is 56.

The spelling of 726253133107457 in words is "seven hundred twenty-six trillion, two hundred fifty-three billion, one hundred thirty-three million, one hundred seven thousand, four hundred fifty-seven".