9564106037641 has 2 divisors, whose sum is σ = 9564106037642. Its totient is φ = 9564106037640.

The previous prime is 9564106037597. The next prime is 9564106037657. The reversal of 9564106037641 is 1467306014659.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8371642037641 + 1192464000000 = 2893379^2 + 1092000^2 .

It is an emirp because it is prime and its reverse (1467306014659) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9564106037641 - 2⁷ = 9564106037513 is a prime.

It is not a weakly prime, because it can be changed into another prime (9564106037671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4782053018820 + 4782053018821.

It is an arithmetic number, because the mean of its divisors is an integer number (4782053018821).

Almost surely, 2^{9564106037641} is an apocalyptic number.

It is an amenable number.

9564106037641 is a deficient number, since it is larger than the sum of its proper divisors (1).

9564106037641 is an equidigital number, since it uses as much as digits as its factorization.

9564106037641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 9564106037641 in words is "nine trillion, five hundred sixty-four billion, one hundred six million, thirty-seven thousand, six hundred forty-one".