1283813361 has 32 divisors (see below), whose sum is σ = 2062972800. Its totient is φ = 785871360.

The previous prime is 1283813359. The next prime is 1283813371. The reversal of 1283813361 is 1633183821.

1283813361 is a `hidden beast` number, since 1 + 283 + 8 + 13 + 361 = 666.

It is not a de Polignac number, because 1283813361 - 2¹ = 1283813359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1283813371) by changing a digit.

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, 15291 + ... + 52928.

It is an arithmetic number, because the mean of its divisors is an integer number (64467900).

Almost surely, 2^1283813361 is an apocalyptic number.

It is an amenable number.

1283813361 is a deficient number, since it is larger than the sum of its proper divisors (779159439).

1283813361 is a wasteful number, since it uses less digits than its factorization.

1283813361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68286 (or 68280 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1283813361 is about 35830.3413464064. The cubic root of 1283813361 is about 1086.8442124723.

The spelling of 1283813361 in words is "one billion, two hundred eighty-three million, eight hundred thirteen thousand, three hundred sixty-one".