1078505097121 has 9 divisors (see below), whose sum is σ = 1083595811571. Its totient is φ = 1073438201952.

The previous prime is 1078505097053. The next prime is 1078505097203. The reversal of 1078505097121 is 1217905058701.

The square root of 1078505097121 is 1038511.

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., 129704421025 + 948800676096 = 360145^2 + 974064^2 .

It is not a de Polignac number, because 1078505097121 - 2²⁷ = 1078370879393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1078505097421) 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, 231585625 + ... + 231590281.

It is an arithmetic number, because the mean of its divisors is an integer number (120399534619).

Almost surely, 2^{1078505097121} is an apocalyptic number.

1078505097121 is the 1038511-st square number.

1078505097121 is the 519256-th centered octagonal number.

It is an amenable number.

1078505097121 is a deficient number, since it is larger than the sum of its proper divisors (5090714450).

1078505097121 is an frugal number, since it uses more digits than its factorization.

1078505097121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9760 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 46.

The spelling of 1078505097121 in words is "one trillion, seventy-eight billion, five hundred five million, ninety-seven thousand, one hundred twenty-one".