9245841564901 has 2 divisors, whose sum is σ = 9245841564902. Its totient is φ = 9245841564900.

The previous prime is 9245841564881. The next prime is 9245841564977. The reversal of 9245841564901 is 1094651485429.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9244336202500 + 1505362401 = 3040450^2 + 38799^2 .

It is an emirp because it is prime and its reverse (1094651485429) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9245841564901 - 2²¹ = 9245839467749 is a prime.

It is a super-3 number, since 3×9245841564901³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9245841567901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4622920782450 + 4622920782451.

It is an arithmetic number, because the mean of its divisors is an integer number (4622920782451).

Almost surely, 2^{9245841564901} is an apocalyptic number.

It is an amenable number.

9245841564901 is a deficient number, since it is larger than the sum of its proper divisors (1).

9245841564901 is an equidigital number, since it uses as much as digits as its factorization.

9245841564901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12441600, while the sum is 58.

The spelling of 9245841564901 in words is "nine trillion, two hundred forty-five billion, eight hundred forty-one million, five hundred sixty-four thousand, nine hundred one".