2580826561 has 2 divisors, whose sum is σ = 2580826562. Its totient is φ = 2580826560.

The previous prime is 2580826537. The next prime is 2580826579. The reversal of 2580826561 is 1656280852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1827049536 + 753777025 = 42744^2 + 27455^2 .

It is a cyclic number.

It is not a de Polignac number, because 2580826561 - 2¹⁹ = 2580302273 is a prime.

It is not a weakly prime, because it can be changed into another prime (2580826511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1290413280 + 1290413281.

It is an arithmetic number, because the mean of its divisors is an integer number (1290413281).

Almost surely, 2^2580826561 is an apocalyptic number.

It is an amenable number.

2580826561 is a deficient number, since it is larger than the sum of its proper divisors (1).

2580826561 is an equidigital number, since it uses as much as digits as its factorization.

2580826561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 230400, while the sum is 43.

The square root of 2580826561 is about 50801.8361971297. The cubic root of 2580826561 is about 1371.6804216823.

The spelling of 2580826561 in words is "two billion, five hundred eighty million, eight hundred twenty-six thousand, five hundred sixty-one".