1017094437121 has 9 divisors (see below), whose sum is σ = 1183158883971. Its totient is φ = 871789180752.

The previous prime is 1017094437091. The next prime is 1017094437127. The reversal of 1017094437121 is 1217344907101.

The square root of 1017094437121 is 1008511.

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., 787523130625 + 229571306496 = 887425^2 + 479136^2 .

It is not a de Polignac number, because 1017094437121 - 2⁵ = 1017094437089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1017094437127) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6987541 + ... + 7131613.

It is an arithmetic number, because the mean of its divisors is an integer number (131462098219).

Almost surely, 2^{1017094437121} is an apocalyptic number.

1017094437121 is the 1008511-st square number.

1017094437121 is the 504256-th centered octagonal number.

It is an amenable number.

1017094437121 is a deficient number, since it is larger than the sum of its proper divisors (166064446850).

1017094437121 is an frugal number, since it uses more digits than its factorization.

1017094437121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288160 (or 144080 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 1017094437121 in words is "one trillion, seventeen billion, ninety-four million, four hundred thirty-seven thousand, one hundred twenty-one".