1085232645025 has 27 divisors (see below), whose sum is σ = 1361560078443. Its totient is φ = 858064521600.

The previous prime is 1085232645017. The next prime is 1085232645059. The reversal of 1085232645025 is 5205462325801.

The square root of 1085232645025 is 1041745.

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

It can be written as a sum of positive squares in 13 ways, for example, as 865556704609 + 219675940416 = 930353^2 + 468696^2 .

It is not a de Polignac number, because 1085232645025 - 2³ = 1085232645017 is a prime.

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, 463575355 + ... + 463577695.

Almost surely, 2^{1085232645025} is an apocalyptic number.

1085232645025 is the 1041745-th square number.

1085232645025 is the 520873-rd centered octagonal number.

It is an amenable number.

1085232645025 is a deficient number, since it is larger than the sum of its proper divisors (276327433418).

1085232645025 is an frugal number, since it uses more digits than its factorization.

1085232645025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 1085232645025 in words is "one trillion, eighty-five billion, two hundred thirty-two million, six hundred forty-five thousand, twenty-five".