1006061005530 has 96 divisors (see below), whose sum is σ = 3030389766144. Its totient is φ = 226806697728.

The previous prime is 1006061005511. The next prime is 1006061005583. The reversal of 1006061005530 is 355001606001.

It is a happy number.

1006061005530 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 0 + 6 + 100 + 553 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1006061005494 and 1006061005503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10891834 + ... + 10983813.

It is an arithmetic number, because the mean of its divisors is an integer number (31566560064).

Almost surely, 2^{1006061005530} is an apocalyptic number.

1006061005530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006061005530 is an abundant number, since it is smaller than the sum of its proper divisors (2024328760614).

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

1006061005530 is a wasteful number, since it uses less digits than its factorization.

1006061005530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21875740 (or 21875737 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 1006061005530 in words is "one trillion, six billion, sixty-one million, five thousand, five hundred thirty".