1026738384961 has 9 divisors (see below), whose sum is σ = 1029564061729. Its totient is φ = 1023920450500.

The previous prime is 1026738384929. The next prime is 1026738385007. The reversal of 1026738384961 is 1694838376201.

The square root of 1026738384961 is 1013281.

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

It is not a de Polignac number, because 1026738384961 - 2⁵ = 1026738384929 is a prime.

It is a super-2 number, since 2×1026738384961² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1026738384896 and 1026738384905.

It is not an unprimeable number, because it can be changed into a prime (1026738324961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 436722936 + ... + 436725286.

Almost surely, 2^{1026738384961} is an apocalyptic number.

1026738384961 is the 1013281-st square number.

1026738384961 is the 506641-st centered octagonal number.

It is an amenable number.

1026738384961 is a deficient number, since it is larger than the sum of its proper divisors (2825676768).

1026738384961 is an frugal number, since it uses more digits than its factorization.

1026738384961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5564 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 1026738384961 in words is "one trillion, twenty-six billion, seven hundred thirty-eight million, three hundred eighty-four thousand, nine hundred sixty-one".