1005314020 has 48 divisors (see below), whose sum is σ = 2161006848. Its totient is φ = 392670720.

The previous prime is 1005314003. The next prime is 1005314041. The reversal of 1005314020 is 204135001.

It is a junction number, because it is equal to n+sod(n) for n = 1005313985 and 1005314003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535804 + ... + 537676.

It is an arithmetic number, because the mean of its divisors is an integer number (45020976).

Almost surely, 2^1005314020 is an apocalyptic number.

1005314020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005314020 is an abundant number, since it is smaller than the sum of its proper divisors (1155692828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005314020 is a wasteful number, since it uses less digits than its factorization.

1005314020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1005314020 is about 31706.6873072543. The cubic root of 1005314020 is about 1001.7682115850.

Adding to 1005314020 its reverse (204135001), we get a palindrome (1209449021).

The spelling of 1005314020 in words is "one billion, five million, three hundred fourteen thousand, twenty".