1020966764041 has 45 divisors (see below), whose sum is σ = 1266284429781. Its totient is φ = 822958045056.

The previous prime is 1020966763991. The next prime is 1020966764119. The reversal of 1020966764041 is 1404676690201.

The square root of 1020966764041 is 1010429.

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

It can be written as a sum of positive squares in 4 ways, for example, as 81579355641 + 939387408400 = 285621^2 + 969220^2 .

It is not a de Polignac number, because 1020966764041 - 2⁹ = 1020966763529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020966763982 and 1020966764000.

It is not an unprimeable number, because it can be changed into a prime (1020966764341) 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 44 ways as a sum of consecutive naturals, for example, 841686751 + ... + 841687963.

Almost surely, 2^{1020966764041} is an apocalyptic number.

1020966764041 is the 1010429-th square number.

1020966764041 is the 505215-th centered octagonal number.

It is an amenable number.

1020966764041 is a deficient number, since it is larger than the sum of its proper divisors (245317665740).

1020966764041 is an frugal number, since it uses more digits than its factorization.

1020966764041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 1020966764041 in words is "one trillion, twenty billion, nine hundred sixty-six million, seven hundred sixty-four thousand, forty-one".