1005505300 has 18 divisors (see below), whose sum is σ = 2181946718. Its totient is φ = 402202080.

The previous prime is 1005505253. The next prime is 1005505339. The reversal of 1005505300 is 35055001.

It can be written as a sum of positive squares in 3 ways, for example, as 106584976 + 898920324 = 10324^2 + 29982^2 .

It is a super-2 number, since 2×1005505300² = 2022081816656180000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5027427 + ... + 5027626.

Almost surely, 2^1005505300 is an apocalyptic number.

1005505300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005505300 is an abundant number, since it is smaller than the sum of its proper divisors (1176441418).

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

1005505300 is a wasteful number, since it uses less digits than its factorization.

1005505300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10055067 (or 10055060 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 19.

The square root of 1005505300 is about 31709.7035621590. The cubic root of 1005505300 is about 1001.8317426701.

The spelling of 1005505300 in words is "one billion, five million, five hundred five thousand, three hundred".