1306112524561 has 8 divisors (see below), whose sum is σ = 1410353723240. Its totient is φ = 1202410040832.

The previous prime is 1306112524529. The next prime is 1306112524597. The reversal of 1306112524561 is 1654252116031.

It can be written as a sum of positive squares in 4 ways, for example, as 58066058961 + 1248046465600 = 240969^2 + 1117160^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1306112524561 - 2⁵ = 1306112524529 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 1306112524561.

It is not an unprimeable number, because it can be changed into a prime (1306112524061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134673696 + ... + 134683393.

It is an arithmetic number, because the mean of its divisors is an integer number (176294215405).

Almost surely, 2^{1306112524561} is an apocalyptic number.

It is an amenable number.

1306112524561 is a deficient number, since it is larger than the sum of its proper divisors (104241198679).

1306112524561 is a wasteful number, since it uses less digits than its factorization.

1306112524561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269357475.

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 1306112524561 in words is "one trillion, three hundred six billion, one hundred twelve million, five hundred twenty-four thousand, five hundred sixty-one".