1007017102060 has 12 divisors (see below), whose sum is σ = 2114735914368. Its totient is φ = 402806840816.

The previous prime is 1007017102031. The next prime is 1007017102061. The reversal of 1007017102060 is 602017107001.

It is a super-3 number, since 3×1007017102060³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1007017102061) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 25175427532 + ... + 25175427571.

It is an arithmetic number, because the mean of its divisors is an integer number (176227992864).

Almost surely, 2^{1007017102060} is an apocalyptic number.

1007017102060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007017102060 is an abundant number, since it is smaller than the sum of its proper divisors (1107718812308).

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

1007017102060 is a wasteful number, since it uses less digits than its factorization.

1007017102060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50350855112 (or 50350855110 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 25.

The spelling of 1007017102060 in words is "one trillion, seven billion, seventeen million, one hundred two thousand, sixty".