1965595588009 has 9 divisors (see below), whose sum is σ = 1969164526693. Its totient is φ = 1962033113632.

The previous prime is 1965595588001. The next prime is 1965595588037. The reversal of 1965595588009 is 9008855955691.

The square root of 1965595588009 is 1401997.

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 265106563225 + 1700489024784 = 514885^2 + 1304028^2 .

It is not a de Polignac number, because 1965595588009 - 2³ = 1965595588001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1965595588001) 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, 1134214707 + ... + 1134216439.

Almost surely, 2^{1965595588009} is an apocalyptic number.

1965595588009 is the 1401997-th square number.

1965595588009 is the 700999-th centered octagonal number.

It is an amenable number.

1965595588009 is a deficient number, since it is larger than the sum of its proper divisors (3568938684).

1965595588009 is an frugal number, since it uses more digits than its factorization.

1965595588009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5084 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 174960000, while the sum is 70.

It can be divided in two parts, 1965595 and 588009, that added together give a square (2553604 = 1598²).

The spelling of 1965595588009 in words is "one trillion, nine hundred sixty-five billion, five hundred ninety-five million, five hundred eighty-eight thousand, nine".