1965646060225 has 27 divisors (see below), whose sum is σ = 2495785818729. Its totient is φ = 1535711150400.

The previous prime is 1965646060201. The next prime is 1965646060243. The reversal of 1965646060225 is 5220606465691.

The square root of 1965646060225 is 1402015.

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 257323867441 + 1708322192784 = 507271^2 + 1307028^2 .

It is not a de Polignac number, because 1965646060225 - 2⁵ = 1965646060193 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 301429965 + ... + 301436485.

Almost surely, 2^{1965646060225} is an apocalyptic number.

1965646060225 is the 1402015-th square number.

1965646060225 is the 701008-th centered octagonal number.

It is an amenable number.

1965646060225 is a deficient number, since it is larger than the sum of its proper divisors (530139758504).

1965646060225 is an frugal number, since it uses more digits than its factorization.

1965646060225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13138 (or 6569 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 52.

The spelling of 1965646060225 in words is "one trillion, nine hundred sixty-five billion, six hundred forty-six million, sixty thousand, two hundred twenty-five".