1005413433255 has 96 divisors (see below), whose sum is σ = 2268242714880. Its totient is φ = 417834123840.

The previous prime is 1005413433223. The next prime is 1005413433263. The reversal of 1005413433255 is 5523343145001.

1005413433255 is a `hidden beast` number, since 1 + 0 + 0 + 541 + 34 + 3 + 32 + 55 = 666.

It is not a de Polignac number, because 1005413433255 - 2⁵ = 1005413433223 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6835869 + ... + 6981398.

It is an arithmetic number, because the mean of its divisors is an integer number (23627528280).

Almost surely, 2^{1005413433255} is an apocalyptic number.

1005413433255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005413433255 is an abundant number, since it is smaller than the sum of its proper divisors (1262829281625).

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

1005413433255 is a wasteful number, since it uses less digits than its factorization.

1005413433255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13817306 (or 13817293 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 1005413433255 its reverse (5523343145001), we get a palindrome (6528756578256).

The spelling of 1005413433255 in words is "one trillion, five billion, four hundred thirteen million, four hundred thirty-three thousand, two hundred fifty-five".