1005300023255 has 48 divisors (see below), whose sum is σ = 1349066880000. Its totient is φ = 718419134400.

The previous prime is 1005300023227. The next prime is 1005300023291. The reversal of 1005300023255 is 5523200035001.

It is not a de Polignac number, because 1005300023255 - 2⁸ = 1005300022999 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107044610 + ... + 107054000.

It is an arithmetic number, because the mean of its divisors is an integer number (28105560000).

Almost surely, 2^{1005300023255} is an apocalyptic number.

1005300023255 is a deficient number, since it is larger than the sum of its proper divisors (343766856745).

1005300023255 is a wasteful number, since it uses less digits than its factorization.

1005300023255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12476 (or 12465 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

Adding to 1005300023255 its reverse (5523200035001), we get a palindrome (6528500058256).

The spelling of 1005300023255 in words is "one trillion, five billion, three hundred million, twenty-three thousand, two hundred fifty-five".