2558747561 has 2 divisors, whose sum is σ = 2558747562. Its totient is φ = 2558747560.

The previous prime is 2558747519. The next prime is 2558747563. The reversal of 2558747561 is 1657478552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1553857561 + 1004890000 = 39419^2 + 31700^2 .

It is a cyclic number.

It is not a de Polignac number, because 2558747561 - 2¹⁸ = 2558485417 is a prime.

Together with 2558747563, 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 (2558747563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1279373780 + 1279373781.

It is an arithmetic number, because the mean of its divisors is an integer number (1279373781).

Almost surely, 2^2558747561 is an apocalyptic number.

It is an amenable number.

2558747561 is a deficient number, since it is larger than the sum of its proper divisors (1).

2558747561 is an equidigital number, since it uses as much as digits as its factorization.

2558747561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2352000, while the sum is 50.

The square root of 2558747561 is about 50584.0642989470. The cubic root of 2558747561 is about 1367.7576333920.

The spelling of 2558747561 in words is "two billion, five hundred fifty-eight million, seven hundred forty-seven thousand, five hundred sixty-one".