2580566761 has 2 divisors, whose sum is σ = 2580566762. Its totient is φ = 2580566760.

The previous prime is 2580566741. The next prime is 2580566771. The reversal of 2580566761 is 1676650852.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2167461136 + 413105625 = 46556^2 + 20325^2 .

It is a cyclic number.

It is not a de Polignac number, because 2580566761 - 2⁷ = 2580566633 is a prime.

It is a super-2 number, since 2×2580566761² = 13318649615956062242, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2580566741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1290283380 + 1290283381.

It is an arithmetic number, because the mean of its divisors is an integer number (1290283381).

Almost surely, 2^2580566761 is an apocalyptic number.

It is an amenable number.

2580566761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2580566761 is an equidigital number, since it uses as much as digits as its factorization.

2580566761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 604800, while the sum is 46.

The square root of 2580566761 is about 50799.2791385862. The cubic root of 2580566761 is about 1371.6343932074.

The spelling of 2580566761 in words is "two billion, five hundred eighty million, five hundred sixty-six thousand, seven hundred sixty-one".