1005302252003 has 8 divisors (see below), whose sum is σ = 1148931179520. Its totient is φ = 861676904520.

The previous prime is 1005302251973. The next prime is 1005302252021. The reversal of 1005302252003 is 3002522035001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005302252003 - 2¹² = 1005302247907 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005302252003.

It is not an unprimeable number, because it can be changed into a prime (1005302252033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263573 + ... + 1442246.

It is an arithmetic number, because the mean of its divisors is an integer number (143616397440).

Almost surely, 2^{1005302252003} is an apocalyptic number.

1005302252003 is a deficient number, since it is larger than the sum of its proper divisors (143628927517).

1005302252003 is an equidigital number, since it uses as much as digits as its factorization.

1005302252003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790017.

The product of its (nonzero) digits is 1800, while the sum is 23.

Adding to 1005302252003 its reverse (3002522035001), we get a palindrome (4007824287004).

The spelling of 1005302252003 in words is "one trillion, five billion, three hundred two million, two hundred fifty-two thousand, three".