1017054097081 has 27 divisors (see below), whose sum is σ = 1187767379533. Its totient is φ = 870045355520.

The previous prime is 1017054097069. The next prime is 1017054097091. The reversal of 1017054097081 is 1807904507101.

The square root of 1017054097081 is 1008491.

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 586665615481 + 430388481600 = 765941^2 + 656040^2 .

It is not a de Polignac number, because 1017054097081 - 2⁷ = 1017054096953 is a prime.

It is a super-3 number, since 3×1017054097081³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1017054097001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 188585121 + ... + 188590513.

Almost surely, 2^{1017054097081} is an apocalyptic number.

1017054097081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1017054097081 is the 1008491-st square number.

1017054097081 is the 504246-th centered octagonal number.

It is an amenable number.

1017054097081 is a deficient number, since it is larger than the sum of its proper divisors (170713282452).

1017054097081 is an frugal number, since it uses more digits than its factorization.

1017054097081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10842 (or 5421 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 43.

The spelling of 1017054097081 in words is "one trillion, seventeen billion, fifty-four million, ninety-seven thousand, eighty-one".