85965255345025 has 81 divisors (see below), whose sum is σ = 125337923903817. Its totient is φ = 58318534310400.

The previous prime is 85965255345001. The next prime is 85965255345049. The reversal of 85965255345025 is 52054355256958.

The square root of 85965255345025 is 9271745.

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

It is an interprime number because it is at equal distance from previous prime (85965255345001) and next prime (85965255345049).

It can be written as a sum of positive squares in 4 ways, for example, as 3160860850161 + 82804394494864 = 1777881^2 + 9099692^2 .

It is not a de Polignac number, because 85965255345025 - 2¹¹ = 85965255342977 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, 31477572910 + ... + 31477575640.

Almost surely, 2^{85965255345025} is an apocalyptic number.

85965255345025 is the 9271745-th square number.

85965255345025 is the 4635873-rd centered octagonal number.

It is an amenable number.

85965255345025 is a deficient number, since it is larger than the sum of its proper divisors (39372668558792).

85965255345025 is an frugal number, since it uses more digits than its factorization.

85965255345025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5680 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 324000000, while the sum is 64.

The spelling of 85965255345025 in words is "eighty-five trillion, nine hundred sixty-five billion, two hundred fifty-five million, three hundred forty-five thousand, twenty-five".