1005605130 has 32 divisors (see below), whose sum is σ = 2453021568. Its totient is φ = 263764800.

The previous prime is 1005605119. The next prime is 1005605137. The reversal of 1005605130 is 315065001.

It is a happy number.

It is a super-2 number, since 2×1005605130² = 2022483354964633800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1005605097 and 1005605106.

It is not an unprimeable number, because it can be changed into a prime (1005605137) 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, 272926 + ... + 276585.

It is an arithmetic number, because the mean of its divisors is an integer number (76656924).

Almost surely, 2^1005605130 is an apocalyptic number.

1005605130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005605130 is an abundant number, since it is smaller than the sum of its proper divisors (1447416438).

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

1005605130 is a wasteful number, since it uses less digits than its factorization.

1005605130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549582.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 1005605130 is about 31711.2776469192. The cubic root of 1005605130 is about 1001.8648966652.

The spelling of 1005605130 in words is "one billion, five million, six hundred five thousand, one hundred thirty".