1004005301 has 16 divisors (see below), whose sum is σ = 1104364800. Its totient is φ = 907088448.

The previous prime is 1004005297. The next prime is 1004005307. The reversal of 1004005301 is 1035004001.

It is a cyclic number.

It is not a de Polignac number, because 1004005301 - 2² = 1004005297 is a prime.

It is a super-2 number, since 2×1004005301² = 2016053288872201202, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004005307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180575 + ... + 186051.

It is an arithmetic number, because the mean of its divisors is an integer number (69022800).

Almost surely, 2^1004005301 is an apocalyptic number.

It is an amenable number.

1004005301 is a deficient number, since it is larger than the sum of its proper divisors (100359499).

1004005301 is a wasteful number, since it uses less digits than its factorization.

1004005301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5788.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1004005301 is about 31686.0426844376. The cubic root of 1004005301 is about 1001.3333217962. Note that the first 4 decimals are identical.

Adding to 1004005301 its reverse (1035004001), we get a palindrome (2039009302).

The spelling of 1004005301 in words is "one billion, four million, five thousand, three hundred one".