1965085294225 has 27 divisors (see below), whose sum is σ = 2455579580337. Its totient is φ = 1559984590080.

The previous prime is 1965085294213. The next prime is 1965085294229. The reversal of 1965085294225 is 5224925805691.

The square root of 1965085294225 is 1401815.

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 111010911489 + 1854074382736 = 333183^2 + 1361644^2 .

It is not a de Polignac number, because 1965085294225 - 2⁷ = 1965085294097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1965085294225.

It is not an unprimeable number, because it can be changed into a prime (1965085294229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 974260417 + ... + 974262433.

Almost surely, 2^{1965085294225} is an apocalyptic number.

1965085294225 is the 1401815-th square number.

1965085294225 is the 700908-th centered octagonal number.

It is an amenable number.

1965085294225 is a deficient number, since it is larger than the sum of its proper divisors (490494286112).

1965085294225 is an frugal number, since it uses more digits than its factorization.

1965085294225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 58.

The spelling of 1965085294225 in words is "one trillion, nine hundred sixty-five billion, eighty-five million, two hundred ninety-four thousand, two hundred twenty-five".