1005052020 has 96 divisors (see below), whose sum is σ = 3270758400. Its totient is φ = 225826944.

The previous prime is 1005052001. The next prime is 1005052021. The reversal of 1005052020 is 202505001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005052021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4501 + ... + 45059.

It is an arithmetic number, because the mean of its divisors is an integer number (34070400).

Almost surely, 2^1005052020 is an apocalyptic number.

1005052020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005052020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635379200).

1005052020 is an abundant number, since it is smaller than the sum of its proper divisors (2265706380).

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

1005052020 is a wasteful number, since it uses less digits than its factorization.

1005052020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40637 (or 40635 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 1005052020 is about 31702.5554175054. Note that the first 3 decimals coincide. The cubic root of 1005052020 is about 1001.6811787209.

Adding to 1005052020 its reverse (202505001), we get a palindrome (1207557021).

The spelling of 1005052020 in words is "one billion, five million, fifty-two thousand, twenty".