1020654225225 has 18 divisors (see below), whose sum is σ = 1828105123806. Its totient is φ = 544348920000.

The previous prime is 1020654225191. The next prime is 1020654225259. The reversal of 1020654225225 is 5225224560201.

1020654225225 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 5 + 422 + 5 + 225 = 666.

It is an interprime number because it is at equal distance from previous prime (1020654225191) and next prime (1020654225259).

It can be written as a sum of positive squares in 3 ways, for example, as 206755641 + 1020447469584 = 14379^2 + 1010172^2 .

It is not a de Polignac number, because 1020654225225 - 2⁹ = 1020654224713 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1020654225225.

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 17 ways as a sum of consecutive naturals, for example, 2268120276 + ... + 2268120725.

It is an arithmetic number, because the mean of its divisors is an integer number (101561395767).

Almost surely, 2^{1020654225225} is an apocalyptic number.

1020654225225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020654225225 is a deficient number, since it is larger than the sum of its proper divisors (807450898581).

1020654225225 is a wasteful number, since it uses less digits than its factorization.

1020654225225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536241017 (or 4536241009 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 1020654225225 its reverse (5225224560201), we get a palindrome (6245878785426).

The spelling of 1020654225225 in words is "one trillion, twenty billion, six hundred fifty-four million, two hundred twenty-five thousand, two hundred twenty-five".