1005253552323 has 20 divisors (see below), whose sum is σ = 1504684489000. Its totient is φ = 668825983872.

The previous prime is 1005253552231. The next prime is 1005253552333. The reversal of 1005253552323 is 3232553525001.

1005253552323 is a `hidden beast` number, since 1 + 0 + 0 + 52 + 53 + 552 + 3 + 2 + 3 = 666.

It is not a de Polignac number, because 1005253552323 - 2¹³ = 1005253544131 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005253552333) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12394990 + ... + 12475827.

It is an arithmetic number, because the mean of its divisors is an integer number (75234224450).

Almost surely, 2^{1005253552323} is an apocalyptic number.

1005253552323 is a deficient number, since it is larger than the sum of its proper divisors (499430936677).

1005253552323 is an equidigital number, since it uses as much as digits as its factorization.

1005253552323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24871328 (or 24871319 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 1005253552323 in words is "one trillion, five billion, two hundred fifty-three million, five hundred fifty-two thousand, three hundred twenty-three".