2564526161 has 2 divisors, whose sum is σ = 2564526162. Its totient is φ = 2564526160.

The previous prime is 2564526137. The next prime is 2564526163. The reversal of 2564526161 is 1616254652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1941724225 + 622801936 = 44065^2 + 24956^2 .

It is a cyclic number.

It is not a de Polignac number, because 2564526161 - 2¹⁴ = 2564509777 is a prime.

Together with 2564526163, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2564526163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1282263080 + 1282263081.

It is an arithmetic number, because the mean of its divisors is an integer number (1282263081).

Almost surely, 2^2564526161 is an apocalyptic number.

It is an amenable number.

2564526161 is a deficient number, since it is larger than the sum of its proper divisors (1).

2564526161 is an equidigital number, since it uses as much as digits as its factorization.

2564526161 is an evil number, because the sum of its binary digits is even.

The product of its digits is 86400, while the sum is 38.

The square root of 2564526161 is about 50641.1508656744. The cubic root of 2564526161 is about 1368.7864937595.

The spelling of 2564526161 in words is "two billion, five hundred sixty-four million, five hundred twenty-six thousand, one hundred sixty-one".