1283132385 has 24 divisors (see below), whose sum is σ = 2266064424. Its totient is φ = 671424000.

The previous prime is 1283132371. The next prime is 1283132399. The reversal of 1283132385 is 5832313821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1283132371) and next prime (1283132399).

It can be written as a sum of positive squares in 4 ways, for example, as 36759969 + 1246372416 = 6063^2 + 35304^2 .

It is not a de Polignac number, because 1283132385 - 2⁴ = 1283132369 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266616 + ... + 271385.

It is an arithmetic number, because the mean of its divisors is an integer number (94419351).

Almost surely, 2^1283132385 is an apocalyptic number.

1283132385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1283132385 is a deficient number, since it is larger than the sum of its proper divisors (982932039).

1283132385 is a wasteful number, since it uses less digits than its factorization.

1283132385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538065 (or 538062 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1283132385 is about 35820.8373017717. The cubic root of 1283132385 is about 1086.6520127477.

The spelling of 1283132385 in words is "one billion, two hundred eighty-three million, one hundred thirty-two thousand, three hundred eighty-five".