1005045505 has 32 divisors (see below), whose sum is σ = 1261209600. Its totient is φ = 768268800.

The previous prime is 1005045487. The next prime is 1005045511. The reversal of 1005045505 is 5055405001.

It is not a de Polignac number, because 1005045505 - 2⁵ = 1005045473 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1005045505.

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 31 ways as a sum of consecutive naturals, for example, 3708520 + ... + 3708790.

It is an arithmetic number, because the mean of its divisors is an integer number (39412800).

Almost surely, 2^1005045505 is an apocalyptic number.

It is an amenable number.

1005045505 is a deficient number, since it is larger than the sum of its proper divisors (256164095).

1005045505 is a wasteful number, since it uses less digits than its factorization.

1005045505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625.

The product of its (nonzero) digits is 2500, while the sum is 25.

The square root of 1005045505 is about 31702.4526653696. The cubic root of 1005045505 is about 1001.6790143331.

It can be divided in two parts, 10050 and 45505, that added together give a palindrome (55555).

The spelling of 1005045505 in words is "one billion, five million, forty-five thousand, five hundred five".