1005045021 has 12 divisors (see below), whose sum is σ = 1455105600. Its totient is φ = 668472840.

The previous prime is 1005044993. The next prime is 1005045029. The reversal of 1005045021 is 1205405001.

It is not a de Polignac number, because 1005045021 - 2¹³ = 1005036829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005044985 and 1005045003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005045029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125671 + ... + 133428.

It is an arithmetic number, because the mean of its divisors is an integer number (121258800).

Almost surely, 2^1005045021 is an apocalyptic number.

It is an amenable number.

1005045021 is a deficient number, since it is larger than the sum of its proper divisors (450060579).

1005045021 is a wasteful number, since it uses less digits than its factorization.

1005045021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259536 (or 259533 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1005045021 is about 31702.4450318899. The cubic root of 1005045021 is about 1001.6788535401.

The spelling of 1005045021 in words is "one billion, five million, forty-five thousand, twenty-one".