7956241303761 has 15 divisors (see below), whose sum is σ = 11885287277611. Its totient is φ = 5304143945088.

The previous prime is 7956241303753. The next prime is 7956241303789. The reversal of 7956241303761 is 1673031426597.

The square root of 7956241303761 is 2820681.

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

7956241303761 is a `hidden beast` number, since 7 + 9 + 5 + 624 + 1 + 3 + 0 + 3 + 7 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6379509041361 + 1576732262400 = 2525769^2 + 1255680^2 .

It is not a de Polignac number, because 7956241303761 - 2³ = 7956241303753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7956241303698 and 7956241303707.

It is not an unprimeable number, because it can be changed into a prime (7956241303741) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 25229425 + ... + 25542833.

Almost surely, 2^{7956241303761} is an apocalyptic number.

7956241303761 is the 2820681-st square number.

7956241303761 is the 1410341-st centered octagonal number.

It is an amenable number.

7956241303761 is a deficient number, since it is larger than the sum of its proper divisors (3929045973850).

7956241303761 is an frugal number, since it uses more digits than its factorization.

7956241303761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626830 (or 313412 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 7956241303761 in words is "seven trillion, nine hundred fifty-six billion, two hundred forty-one million, three hundred three thousand, seven hundred sixty-one".