1016263593801 has 21 divisors (see below), whose sum is σ = 1523739175351. Its totient is φ = 677490916752.

The previous prime is 1016263593791. The next prime is 1016263593809. The reversal of 1016263593801 is 1083953626101.

The square root of 1016263593801 is 1008099.

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

1016263593801 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 2 + 635 + 9 + 3 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 672605015625 + 343658578176 = 820125^2 + 586224^2 .

It is not a de Polignac number, because 1016263593801 - 2¹¹ = 1016263591753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1016263593809) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 27200005 + ... + 27237341.

Almost surely, 2^{1016263593801} is an apocalyptic number.

1016263593801 is the 1008099-th square number.

1016263593801 is the 504050-th centered octagonal number.

It is an amenable number.

1016263593801 is a deficient number, since it is larger than the sum of its proper divisors (507475581550).

1016263593801 is an frugal number, since it uses more digits than its factorization.

1016263593801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74692 (or 37340 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1016263593801 in words is "one trillion, sixteen billion, two hundred sixty-three million, five hundred ninety-three thousand, eight hundred one".