717325996401 has 81 divisors (see below), whose sum is σ = 1246395848139. Its totient is φ = 396373068000.

The previous prime is 717325996349. The next prime is 717325996403. The reversal of 717325996401 is 104699523717.

717325996401 = 1³ + 2³ + ... + 1301³.

The square root of 717325996401 is 846951.

It is a perfect power (a square), and thus also a powerful number.

717325996401 is a `hidden beast` number, since 7 + 1 + 7 + 3 + 2 + 599 + 6 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1102306401 + 716223690000 = 33201^2 + 846300^2 .

It is not a de Polignac number, because 717325996401 - 2¹⁹ = 717325472113 is a prime.

It is a super-2 number, since 2×717325996401² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (717325996403) 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 in 80 ways as a sum of consecutive naturals, for example, 551364451 + ... + 551365751.

Almost surely, 2^717325996401 is an apocalyptic number.

717325996401 is the 846951-st square number.

717325996401 is the 423476-th centered octagonal number.

It is an amenable number.

717325996401 is a deficient number, since it is larger than the sum of its proper divisors (529069851738).

717325996401 is an equidigital number, since it uses as much as digits as its factorization.

717325996401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 717325996401 in words is "seven hundred seventeen billion, three hundred twenty-five million, nine hundred ninety-six thousand, four hundred one".