1005387253 has 6 divisors (see below), whose sum is σ = 1088673954. Its totient is φ = 928049616.

The previous prime is 1005387209. The next prime is 1005387269. The reversal of 1005387253 is 3527835001.

It can be written as a sum of positive squares in 3 ways, for example, as 5373124 + 1000014129 = 2318^2 + 31623^2 .

It is not a de Polignac number, because 1005387253 - 2²⁹ = 468516341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005387953) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2974350 + ... + 2974687.

It is an arithmetic number, because the mean of its divisors is an integer number (181445659).

Almost surely, 2^1005387253 is an apocalyptic number.

1005387253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1005387253 is a deficient number, since it is larger than the sum of its proper divisors (83286701).

1005387253 is an equidigital number, since it uses as much as digits as its factorization.

1005387253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5949063 (or 5949050 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 1005387253 is about 31707.8421372379. The cubic root of 1005387253 is about 1001.7925358951.

The spelling of 1005387253 in words is "one billion, five million, three hundred eighty-seven thousand, two hundred fifty-three".