1013966427681 has 9 divisors (see below), whose sum is σ = 1464622536819. Its totient is φ = 675975604536.

The previous prime is 1013966427667. The next prime is 1013966427689. The reversal of 1013966427681 is 1867246693101.

The square root of 1013966427681 is 1006959.

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

1013966427681 is a `hidden beast` number, since 1 + 0 + 139 + 6 + 6 + 427 + 6 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 580849758225 + 433116669456 = 762135^2 + 658116^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1013966427681 - 2²⁷ = 1013832209953 is a prime.

It is a super-2 number, since 2×1013966427681² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1013966427689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2853051 + ... + 3188703.

Almost surely, 2^{1013966427681} is an apocalyptic number.

1013966427681 is the 1006959-th square number.

1013966427681 is the 503480-th centered octagonal number.

It is an amenable number.

1013966427681 is a deficient number, since it is larger than the sum of its proper divisors (450656109138).

1013966427681 is an frugal number, since it uses more digits than its factorization.

1013966427681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671312 (or 335656 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1013966427681 in words is "one trillion, thirteen billion, nine hundred sixty-six million, four hundred twenty-seven thousand, six hundred eighty-one".