201004483536025 has 27 divisors (see below), whose sum is σ = 269894358117111. Its totient is φ = 148433399624640.

The previous prime is 201004483535993. The next prime is 201004483536067. The reversal of 201004483536025 is 520635384400102.

The square root of 201004483536025 is 14177605.

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

It can be written as a sum of positive squares in 13 ways, for example, as 76604278197769 + 124400205338256 = 8752387^2 + 11153484^2 .

It is not a de Polignac number, because 201004483536025 - 2⁵ = 201004483535993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 921435267 + ... + 921653383.

Almost surely, 2^{201004483536025} is an apocalyptic number.

201004483536025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

201004483536025 is the 14177605-th square number.

201004483536025 is the 7088803-rd centered octagonal number.

It is an amenable number.

201004483536025 is a deficient number, since it is larger than the sum of its proper divisors (68889874581086).

201004483536025 is an frugal number, since it uses more digits than its factorization.

201004483536025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436270 (or 218135 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 201004483536025 in words is "two hundred one trillion, four billion, four hundred eighty-three million, five hundred thirty-six thousand, twenty-five".