1165935646225 has 27 divisors (see below), whose sum is σ = 1681857198651. Its totient is φ = 799472814000.

The previous prime is 1165935646159. The next prime is 1165935646231. The reversal of 1165935646225 is 5226465395611.

The square root of 1165935646225 is 1079785.

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., 419736832641 + 746198813584 = 647871^2 + 863828^2 .

It is not a de Polignac number, because 1165935646225 - 2¹³ = 1165935638033 is a prime.

It is a super-2 number, since 2×1165935646225² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37777050 + ... + 37807900.

Almost surely, 2^{1165935646225} is an apocalyptic number.

1165935646225 is the 1079785-th square number.

1165935646225 is the 539893-rd centered octagonal number.

It is an amenable number.

1165935646225 is a deficient number, since it is larger than the sum of its proper divisors (515921552426).

1165935646225 is an frugal number, since it uses more digits than its factorization.

1165935646225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61726 (or 30863 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 55.

The spelling of 1165935646225 in words is "one trillion, one hundred sixty-five billion, nine hundred thirty-five million, six hundred forty-six thousand, two hundred twenty-five".