1030517125768 has 96 divisors (see below), whose sum is σ = 2161823212800. Its totient is φ = 459844819200.

The previous prime is 1030517125747. The next prime is 1030517125849. The reversal of 1030517125768 is 8675217150301.

It is a super-2 number, since 2×1030517125768² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46469323 + ... + 46491493.

It is an arithmetic number, because the mean of its divisors is an integer number (22518991800).

Almost surely, 2^{1030517125768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030517125768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080911606400).

1030517125768 is an abundant number, since it is smaller than the sum of its proper divisors (1131306087032).

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

1030517125768 is a wasteful number, since it uses less digits than its factorization.

1030517125768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23343 (or 23326 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 46.

The spelling of 1030517125768 in words is "one trillion, thirty billion, five hundred seventeen million, one hundred twenty-five thousand, seven hundred sixty-eight".