2301561164561 has 2 divisors, whose sum is σ = 2301561164562. Its totient is φ = 2301561164560.

The previous prime is 2301561164503. The next prime is 2301561164593. The reversal of 2301561164561 is 1654611651032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1195646023936 + 1105915140625 = 1093456^2 + 1051625^2 .

It is a cyclic number.

It is not a de Polignac number, because 2301561164561 - 2²⁶ = 2301494055697 is a prime.

It is not a weakly prime, because it can be changed into another prime (2301561164761) 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 as a sum of consecutive naturals, namely, 1150780582280 + 1150780582281.

It is an arithmetic number, because the mean of its divisors is an integer number (1150780582281).

Almost surely, 2^{2301561164561} is an apocalyptic number.

It is an amenable number.

2301561164561 is a deficient number, since it is larger than the sum of its proper divisors (1).

2301561164561 is an equidigital number, since it uses as much as digits as its factorization.

2301561164561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 41.

The spelling of 2301561164561 in words is "two trillion, three hundred one billion, five hundred sixty-one million, one hundred sixty-four thousand, five hundred sixty-one".