1082380140625 has 189 divisors, whose sum is σ = 1670716524711. Its totient is φ = 699132000000.

The previous prime is 1082380140619. The next prime is 1082380140649. The reversal of 1082380140625 is 5260410832801.

The square root of 1082380140625 is 1040375.

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

It can be written as a sum of positive squares in 31 ways, for example, as 34688690001 + 1047691450624 = 186249^2 + 1023568^2 .

It is not a de Polignac number, because 1082380140625 - 2⁵ = 1082380140593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 26399515605 + ... + 26399515645.

Almost surely, 2^{1082380140625} is an apocalyptic number.

1082380140625 is the 1040375-th square number.

1082380140625 is the 520188-th centered octagonal number.

It is an amenable number.

1082380140625 is a deficient number, since it is larger than the sum of its proper divisors (588336384086).

1082380140625 is an frugal number, since it uses more digits than its factorization.

1082380140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 1082380140625 in words is "one trillion, eighty-two billion, three hundred eighty million, one hundred forty thousand, six hundred twenty-five".