1006507205060 has 48 divisors (see below), whose sum is σ = 2557712433024. Its totient is φ = 324788878848.

The previous prime is 1006507205047. The next prime is 1006507205063. The reversal of 1006507205060 is 605027056001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1006507205063) 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, 211448714 + ... + 211453473.

It is an arithmetic number, because the mean of its divisors is an integer number (53285675688).

Almost surely, 2^{1006507205060} is an apocalyptic number.

1006507205060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006507205060 is an abundant number, since it is smaller than the sum of its proper divisors (1551205227964).

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

1006507205060 is a wasteful number, since it uses less digits than its factorization.

1006507205060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422902220 (or 422902218 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 1006507205060 in words is "one trillion, six billion, five hundred seven million, two hundred five thousand, sixty".