1283435827506 has 256 divisors, whose sum is σ = 3451619082240. Its totient is φ = 345720960000.

The previous prime is 1283435827493. The next prime is 1283435827519. The reversal of 1283435827506 is 6057285343821.

1283435827506 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 4 + 3 + 582 + 7 + 50 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1283435827493) and next prime (1283435827519).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 450168981 + ... + 450171831.

It is an arithmetic number, because the mean of its divisors is an integer number (13482887040).

Almost surely, 2^{1283435827506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1283435827506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725809541120).

1283435827506 is an abundant number, since it is smaller than the sum of its proper divisors (2168183254734).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1283435827506 is a wasteful number, since it uses less digits than its factorization.

1283435827506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 1283435827506 in words is "one trillion, two hundred eighty-three billion, four hundred thirty-five million, eight hundred twenty-seven thousand, five hundred six".