2205061653025 has 405 divisors, whose sum is σ = 3832388906073. Its totient is φ = 1257332630400.

The previous prime is 2205061653019. The next prime is 2205061653059. The reversal of 2205061653025 is 5203561605022.

The square root of 2205061653025 is 1484945.

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 30309765409 + 2174751887616 = 174097^2 + 1474704^2 .

It is not a de Polignac number, because 2205061653025 - 2¹³ = 2205061644833 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 76036608711 + ... + 76036608739.

Almost surely, 2^{2205061653025} is an apocalyptic number.

2205061653025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2205061653025 is the 1484945-th square number.

2205061653025 is the 742473-rd centered octagonal number.

It is an amenable number.

2205061653025 is a deficient number, since it is larger than the sum of its proper divisors (1627327253048).

2205061653025 is an equidigital number, since it uses as much as digits as its factorization.

2205061653025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 2205061653025 in words is "two trillion, two hundred five billion, sixty-one million, six hundred fifty-three thousand, twenty-five".