1010947800681 has 243 divisors, whose sum is σ = 1920117732741. Its totient is φ = 510805346688.

The previous prime is 1010947800649. The next prime is 1010947800683. The reversal of 1010947800681 is 1860087490101.

It is a happy number.

The square root of 1010947800681 is 1005459.

It is a perfect power (a square), and thus also a powerful number.

1010947800681 is a `hidden beast` number, since 10 + 109 + 478 + 0 + 0 + 68 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 129632402025 + 881315398656 = 360045^2 + 938784^2 .

It is not a de Polignac number, because 1010947800681 - 2⁵ = 1010947800649 is a prime.

It is a super-2 number, since 2×1010947800681² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010947800683) 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 242 ways as a sum of consecutive naturals, for example, 7960218840 + ... + 7960218966.

Almost surely, 2^{1010947800681} is an apocalyptic number.

1010947800681 is the 1005459-th square number.

1010947800681 is the 502730-th centered octagonal number.

It is an amenable number.

1010947800681 is a deficient number, since it is larger than the sum of its proper divisors (909169932060).

1010947800681 is a wasteful number, since it uses less digits than its factorization.

1010947800681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 1010947800681 in words is "one trillion, ten billion, nine hundred forty-seven million, eight hundred thousand, six hundred eighty-one".