1082172075625 has 15 divisors (see below), whose sum is σ = 1352314724673. Its totient is φ = 865716855000.

The previous prime is 1082172075619. The next prime is 1082172075689. The reversal of 1082172075625 is 5265702712801.

It is a happy number.

The square root of 1082172075625 is 1040275.

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

It can be written as a sum of positive squares in 2 ways, for example, as 84842290729 + 997329784896 = 291277^2 + 998664^2 .

It is not a de Polignac number, because 1082172075625 - 2³ = 1082172075617 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 25986070 + ... + 26027680.

Almost surely, 2^{1082172075625} is an apocalyptic number.

1082172075625 is the 1040275-th square number.

1082172075625 is the 520138-th centered octagonal number.

It is an amenable number.

1082172075625 is a deficient number, since it is larger than the sum of its proper divisors (270142649048).

1082172075625 is an frugal number, since it uses more digits than its factorization.

1082172075625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83242 (or 41616 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 46.

The spelling of 1082172075625 in words is "one trillion, eighty-two billion, one hundred seventy-two million, seventy-five thousand, six hundred twenty-five".