1033863937681 has 9 divisors (see below), whose sum is σ = 1048703721019. Its totient is φ = 1019231298400.

The previous prime is 1033863937663. The next prime is 1033863937703. The reversal of 1033863937681 is 1867393683301.

It is a happy number.

The square root of 1033863937681 is 1016791.

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

It can be written as a sum of positive squares in only one way, i.e., 11662056081 + 1022201881600 = 107991^2 + 1011040^2 .

It is not a de Polignac number, because 1033863937681 - 2³⁵ = 999504199313 is a prime.

It is a super-2 number, since 2×1033863937681² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1033863937621) 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 8 ways as a sum of consecutive naturals, for example, 72185001 + ... + 72199321.

Almost surely, 2^{1033863937681} is an apocalyptic number.

1033863937681 is the 1016791-st square number.

1033863937681 is the 508396-th centered octagonal number.

It is an amenable number.

1033863937681 is a deficient number, since it is larger than the sum of its proper divisors (14839783338).

1033863937681 is an frugal number, since it uses more digits than its factorization.

1033863937681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28784 (or 14392 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 58.

The spelling of 1033863937681 in words is "one trillion, thirty-three billion, eight hundred sixty-three million, nine hundred thirty-seven thousand, six hundred eighty-one".