210406484106025 has 27 divisors (see below), whose sum is σ = 261665197170853. Its totient is φ = 167835543171200.

The previous prime is 210406484106023. The next prime is 210406484106061. The reversal of 210406484106025 is 520601484604012.

It is a happy number.

The square root of 210406484106025 is 14505395.

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 18816482813209 + 191590001292816 = 4337797^2 + 13841604^2 .

It is not a de Polignac number, because 210406484106025 - 2¹ = 210406484106023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210406484106023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26037179985 + ... + 26037188065.

Almost surely, 2^{210406484106025} is an apocalyptic number.

210406484106025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

210406484106025 is the 14505395-th square number.

210406484106025 is the 7252698-th centered octagonal number.

It is an amenable number.

210406484106025 is a deficient number, since it is larger than the sum of its proper divisors (51258713064828).

210406484106025 is an frugal number, since it uses more digits than its factorization.

210406484106025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16890 (or 8445 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 210406484106025 in words is "two hundred ten trillion, four hundred six billion, four hundred eighty-four million, one hundred six thousand, twenty-five".