1085225777 has 2 divisors, whose sum is σ = 1085225778. Its totient is φ = 1085225776.

The previous prime is 1085225759. The next prime is 1085225783. The reversal of 1085225777 is 7775225801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 817445281 + 267780496 = 28591^2 + 16364^2 .

It is a cyclic number.

It is not a de Polignac number, because 1085225777 - 2¹⁴ = 1085209393 is a prime.

It is not a weakly prime, because it can be changed into another prime (1085225707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 542612888 + 542612889.

It is an arithmetic number, because the mean of its divisors is an integer number (542612889).

Almost surely, 2^1085225777 is an apocalyptic number.

It is an amenable number.

1085225777 is a deficient number, since it is larger than the sum of its proper divisors (1).

1085225777 is an equidigital number, since it uses as much as digits as its factorization.

1085225777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 274400, while the sum is 44.

The square root of 1085225777 is about 32942.7651693054. The cubic root of 1085225777 is about 1027.6377122367.

It can be divided in two parts, 1085 and 225777, that multiplied together give a triangular number (244968045 = T₂₂₁₃₄).

The spelling of 1085225777 in words is "one billion, eighty-five million, two hundred twenty-five thousand, seven hundred seventy-seven".