7097807117241 has 81 divisors (see below), whose sum is σ = 11011050802479. Its totient is φ = 4574914441200.

The previous prime is 7097807117227. The next prime is 7097807117243. The reversal of 7097807117241 is 1427117087907.

The square root of 7097807117241 is 2664171.

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

It can be written as a sum of positive squares in only one way, i.e., 4674118604841 + 2423688512400 = 2161971^2 + 1556820^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 7097807117241 - 2²⁹ = 7097270246329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7097807117243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6689732851 + ... + 6689733911.

Almost surely, 2^{7097807117241} is an apocalyptic number.

7097807117241 is the 2664171-st square number.

7097807117241 is the 1332086-th centered octagonal number.

It is an amenable number.

7097807117241 is a deficient number, since it is larger than the sum of its proper divisors (3913243685238).

7097807117241 is an frugal number, since it uses more digits than its factorization.

7097807117241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 54.

The spelling of 7097807117241 in words is "seven trillion, ninety-seven billion, eight hundred seven million, one hundred seventeen thousand, two hundred forty-one".