1020817226025 has 81 divisors (see below), whose sum is σ = 1843201056879. Its totient is φ = 540063037440.

The previous prime is 1020817225907. The next prime is 1020817226059. The reversal of 1020817226025 is 5206227180201.

It is a happy number.

The square root of 1020817226025 is 1010355.

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

1020817226025 is a `hidden beast` number, since 1 + 0 + 20 + 8 + 1 + 7 + 22 + 602 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 679798601001 + 341018625024 = 824499^2 + 583968^2 .

It is not a de Polignac number, because 1020817226025 - 2²¹ = 1020815128873 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2924977551 + ... + 2924977899.

Almost surely, 2^{1020817226025} is an apocalyptic number.

1020817226025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1020817226025 is the 1010355-th square number.

1020817226025 is the 505178-th centered octagonal number.

It is an amenable number.

1020817226025 is a deficient number, since it is larger than the sum of its proper divisors (822383830854).

1020817226025 is an frugal number, since it uses more digits than its factorization.

1020817226025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Multiplying 1020817226025 by its sum of digits (36), we get a square (36749420136900 = 6062130²).

The spelling of 1020817226025 in words is "one trillion, twenty billion, eight hundred seventeen million, two hundred twenty-six thousand, twenty-five".