10095572086609 has 9 divisors (see below), whose sum is σ = 10125377375889. Its totient is φ = 10065854304000.

The previous prime is 10095572086603. The next prime is 10095572086651. The reversal of 10095572086609 is 90668027559001.

The square root of 10095572086609 is 3177353.

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 1862528915025 + 8233043171584 = 1364745^2 + 2869328^2 .

It is not a de Polignac number, because 10095572086609 - 2⁹ = 10095572086097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10095572086603) 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, 1121601109 + ... + 1121610109.

Almost surely, 2^{10095572086609} is an apocalyptic number.

10095572086609 is the 3177353-rd square number.

10095572086609 is the 1588677-th centered octagonal number.

It is an amenable number.

10095572086609 is a deficient number, since it is larger than the sum of its proper divisors (29805289280).

10095572086609 is an frugal number, since it uses more digits than its factorization.

10095572086609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18708 (or 9354 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 58.

The spelling of 10095572086609 in words is "ten trillion, ninety-five billion, five hundred seventy-two million, eighty-six thousand, six hundred nine".