7291247453361 has 27 divisors (see below), whose sum is σ = 10587332228889. Its totient is φ = 4835336054472.

The previous prime is 7291247453353. The next prime is 7291247453377. The reversal of 7291247453361 is 1633547421927.

The square root of 7291247453361 is 2700231.

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

7291247453361 is a `hidden beast` number, since 7 + 2 + 9 + 1 + 2 + 47 + 4 + 533 + 61 = 666.

It is not a de Polignac number, because 7291247453361 - 2³ = 7291247453353 is a prime.

It is a super-2 number, since 2×7291247453361² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7291247453298 and 7291247453307.

It is not an unprimeable number, because it can be changed into a prime (7291247453341) 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 26 ways as a sum of consecutive naturals, for example, 1612035646 + ... + 1612040168.

Almost surely, 2^{7291247453361} is an apocalyptic number.

7291247453361 is the 2700231-st square number.

7291247453361 is the 1350116-th centered octagonal number.

It is an amenable number.

7291247453361 is a deficient number, since it is larger than the sum of its proper divisors (3296084775528).

7291247453361 is an frugal number, since it uses more digits than its factorization.

7291247453361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9450 (or 4725 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 7291247453361 in words is "seven trillion, two hundred ninety-one billion, two hundred forty-seven million, four hundred fifty-three thousand, three hundred sixty-one".