1283215305 has 32 divisors (see below), whose sum is σ = 2086069248. Its totient is φ = 673444800.

The previous prime is 1283215237. The next prime is 1283215319. The reversal of 1283215305 is 5035123821.

It is not a de Polignac number, because 1283215305 - 2¹⁴ = 1283198921 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 837390 + ... + 838920.

It is an arithmetic number, because the mean of its divisors is an integer number (65189664).

Almost surely, 2^1283215305 is an apocalyptic number.

1283215305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1283215305 is a deficient number, since it is larger than the sum of its proper divisors (802853943).

1283215305 is a wasteful number, since it uses less digits than its factorization.

1283215305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1283215305 is about 35821.9947099544. The cubic root of 1283215305 is about 1086.6754198529.

The spelling of 1283215305 in words is "one billion, two hundred eighty-three million, two hundred fifteen thousand, three hundred five".