1005506010 has 24 divisors (see below), whose sum is σ = 2614315860. Its totient is φ = 268134912.

The previous prime is 1005505997. The next prime is 1005506041. The reversal of 1005506010 is 106055001.

1005506010 is a `hidden beast` number, since 10 + 0 + 5 + 50 + 601 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 805594689 + 199911321 = 28383^2 + 14139^2 .

It is a super-2 number, since 2×1005506010² = 2022084672292240200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5586055 + ... + 5586234.

Almost surely, 2^1005506010 is an apocalyptic number.

1005506010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005506010 is an abundant number, since it is smaller than the sum of its proper divisors (1608809850).

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

1005506010 is a wasteful number, since it uses less digits than its factorization.

1005506010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11172302 (or 11172299 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1005506010 is about 31709.7147574683. The cubic root of 1005506010 is about 1001.8319784721.

The spelling of 1005506010 in words is "one billion, five million, five hundred six thousand, ten".