1003213505 has 24 divisors (see below), whose sum is σ = 1406598120. Its totient is φ = 684875520.

The previous prime is 1003213483. The next prime is 1003213529. The reversal of 1003213505 is 5053123001.

It can be written as a sum of positive squares in 4 ways, for example, as 245642929 + 757570576 = 15673^2 + 27524^2 .

It is not a de Polignac number, because 1003213505 - 2⁸ = 1003213249 is a prime.

It is a super-2 number, since 2×1003213505² = 2012874673228770050, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 47165 + ... + 65045.

It is an arithmetic number, because the mean of its divisors is an integer number (58608255).

Almost surely, 2^1003213505 is an apocalyptic number.

It is an amenable number.

1003213505 is a deficient number, since it is larger than the sum of its proper divisors (403384615).

1003213505 is a wasteful number, since it uses less digits than its factorization.

1003213505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18129 (or 18122 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 1003213505 is about 31673.5458229735. The cubic root of 1003213505 is about 1001.0700229758.

Adding to 1003213505 its reverse (5053123001), we get a palindrome (6056336506).

The spelling of 1003213505 in words is "one billion, three million, two hundred thirteen thousand, five hundred five".