1006055560125 has 144 divisors (see below), whose sum is σ = 2301468272064. Its totient is φ = 418100760000.

The previous prime is 1006055560121. The next prime is 1006055560129. The reversal of 1006055560125 is 5210655506001.

1006055560125 is a `hidden beast` number, since 10 + 0 + 60 + 5 + 5 + 560 + 1 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (1006055560121) and next prime (1006055560129).

It is not a de Polignac number, because 1006055560125 - 2² = 1006055560121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1006055560125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006055560121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 223191 + ... + 1435940.

It is an arithmetic number, because the mean of its divisors is an integer number (15982418556).

Almost surely, 2^{1006055560125} is an apocalyptic number.

1006055560125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006055560125 is an abundant number, since it is smaller than the sum of its proper divisors (1295412711939).

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

1006055560125 is a wasteful number, since it uses less digits than its factorization.

1006055560125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659177 (or 1659157 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 1006055560125 in words is "one trillion, six billion, fifty-five million, five hundred sixty thousand, one hundred twenty-five".