965886012025 has 81 divisors (see below), whose sum is σ = 1336902330127. Its totient is φ = 691730432800.

The previous prime is 965886012001. The next prime is 965886012053. The reversal of 965886012025 is 520210688569.

The square root of 965886012025 is 982795.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 347718964329 + 618167047696 = 589677^2 + 786236^2 .

It is not a de Polignac number, because 965886012025 - 2⁹ = 965886011513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5783748492 + ... + 5783748658.

Almost surely, 2^965886012025 is an apocalyptic number.

965886012025 is the 982795-th square number.

965886012025 is the 491398-th centered octagonal number.

It is an amenable number.

965886012025 is a deficient number, since it is larger than the sum of its proper divisors (371016318102).

965886012025 is a wasteful number, since it uses less digits than its factorization.

965886012025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The spelling of 965886012025 in words is "nine hundred sixty-five billion, eight hundred eighty-six million, twelve thousand, twenty-five".