1082081025 has 135 divisors (see below), whose sum is σ = 2179897401. Its totient is φ = 530530560.

The previous prime is 1082081017. The next prime is 1082081053. The reversal of 1082081025 is 5201802801.

The square root of 1082081025 is 32895.

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 25310961 + 1056770064 = 5031^2 + 32508^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 1082081025 - 2³ = 1082081017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1082081025.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 25164654 + ... + 25164696.

Almost surely, 2^1082081025 is an apocalyptic number.

1082081025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1082081025 is the 32895-th square number.

1082081025 is the 16448-th centered octagonal number.

It is an amenable number.

1082081025 is an abundant number, since it is smaller than the sum of its proper divisors (1097816376).

1082081025 is an equidigital number, since it uses as much as digits as its factorization.

1082081025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The cubic root of 1082081025 is about 1026.6441271803.

Adding to 1082081025 its reverse (5201802801), we get a palindrome (6283883826).

The spelling of 1082081025 in words is "one billion, eighty-two million, eighty-one thousand, twenty-five".