9617640005241 has 10 divisors (see below), whose sum is σ = 14367091859802. Its totient is φ = 6411760003440.

The previous prime is 9617640005221. The next prime is 9617640005249. The reversal of 9617640005241 is 1425000467169.

9617640005241 is a `hidden beast` number, since 9 + 61 + 7 + 64 + 0 + 0 + 0 + 524 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8663103189225 + 954536816016 = 2943315^2 + 977004^2 .

It is not a de Polignac number, because 9617640005241 - 2¹¹ = 9617640003193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9617640005249) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 59368148100 + ... + 59368148261.

Almost surely, 2^{9617640005241} is an apocalyptic number.

It is an amenable number.

9617640005241 is a deficient number, since it is larger than the sum of its proper divisors (4749451854561).

9617640005241 is a wasteful number, since it uses less digits than its factorization.

9617640005241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118736296373 (or 118736296364 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 9617640005241 in words is "nine trillion, six hundred seventeen billion, six hundred forty million, five thousand, two hundred forty-one".