1003205253 has 16 divisors (see below), whose sum is σ = 1365180480. Its totient is φ = 655060224.

The previous prime is 1003205251. The next prime is 1003205257. The reversal of 1003205253 is 3525023001.

It is not a de Polignac number, because 1003205253 - 2¹ = 1003205251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003205251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93325 + ... + 103517.

It is an arithmetic number, because the mean of its divisors is an integer number (85323780).

Almost surely, 2^1003205253 is an apocalyptic number.

It is an amenable number.

1003205253 is a deficient number, since it is larger than the sum of its proper divisors (361975227).

1003205253 is a wasteful number, since it uses less digits than its factorization.

1003205253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10868.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 1003205253 is about 31673.4155562674. The cubic root of 1003205253 is about 1001.0672781787.

Adding to 1003205253 its reverse (3525023001), we get a palindrome (4528228254).

The spelling of 1003205253 in words is "one billion, three million, two hundred five thousand, two hundred fifty-three".