1248085305 has 24 divisors (see below), whose sum is σ = 2216115720. Its totient is φ = 649409280.

The previous prime is 1248085303. The next prime is 1248085337. The reversal of 1248085305 is 5035808421.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9960336 + 1238124969 = 3156^2 + 35187^2 .

It is not a de Polignac number, because 1248085305 - 2¹ = 1248085303 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1248085305.

It is not an unprimeable number, because it can be changed into a prime (1248085301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336390 + ... + 340079.

It is an arithmetic number, because the mean of its divisors is an integer number (92338155).

Almost surely, 2^1248085305 is an apocalyptic number.

1248085305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1248085305 is a deficient number, since it is larger than the sum of its proper divisors (968030415).

1248085305 is a wasteful number, since it uses less digits than its factorization.

1248085305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676521 (or 676518 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1248085305 is about 35328.2508058353. The cubic root of 1248085305 is about 1076.6670525718.

The spelling of 1248085305 in words is "one billion, two hundred forty-eight million, eighty-five thousand, three hundred five".