1161061205513 has 12 divisors (see below), whose sum is σ = 1278007876740. Its totient is φ = 1054021378080.

The previous prime is 1161061205477. The next prime is 1161061205621. The reversal of 1161061205513 is 3155021601611.

It can be written as a sum of positive squares in 2 ways, for example, as 168463456249 + 992597749264 = 410443^2 + 996292^2 .

It is not a de Polignac number, because 1161061205513 - 2¹⁶ = 1161061139977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1161061205513.

It is not an unprimeable number, because it can be changed into a prime (1161061205113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6681170 + ... + 6852747.

It is an arithmetic number, because the mean of its divisors is an integer number (106500656395).

Almost surely, 2^{1161061205513} is an apocalyptic number.

It is an amenable number.

1161061205513 is a deficient number, since it is larger than the sum of its proper divisors (116946671227).

1161061205513 is a wasteful number, since it uses less digits than its factorization.

1161061205513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13534648 (or 13534637 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 1161061205513 in words is "one trillion, one hundred sixty-one billion, sixty-one million, two hundred five thousand, five hundred thirteen".