2567791441 has 2 divisors, whose sum is σ = 2567791442. Its totient is φ = 2567791440.

The previous prime is 2567791393. The next prime is 2567791463. The reversal of 2567791441 is 1441977652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2510410816 + 57380625 = 50104^2 + 7575^2 .

It is a cyclic number.

It is not a de Polignac number, because 2567791441 - 2¹⁵ = 2567758673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2567791391 and 2567791400.

It is not a weakly prime, because it can be changed into another prime (2567791481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1283895720 + 1283895721.

It is an arithmetic number, because the mean of its divisors is an integer number (1283895721).

Almost surely, 2^2567791441 is an apocalyptic number.

It is an amenable number.

2567791441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2567791441 is an equidigital number, since it uses as much as digits as its factorization.

2567791441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 423360, while the sum is 46.

The square root of 2567791441 is about 50673.3800037061. The cubic root of 2567791441 is about 1369.3671826544.

The spelling of 2567791441 in words is "two billion, five hundred sixty-seven million, seven hundred ninety-one thousand, four hundred forty-one".