209750260225 has 45 divisors (see below), whose sum is σ = 286476013785. Its totient is φ = 152344130400.

The previous prime is 209750260199. The next prime is 209750260253. The reversal of 209750260225 is 522062057902.

The square root of 209750260225 is 457985.

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 110817729 + 209639442496 = 10527^2 + 457864^2 .

It is not a de Polignac number, because 209750260225 - 2¹⁵ = 209750227457 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 44 ways as a sum of consecutive naturals, for example, 277080547 + ... + 277081303.

Almost surely, 2^209750260225 is an apocalyptic number.

209750260225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

209750260225 is the 457985-th square number.

209750260225 is the 228993-rd centered octagonal number.

It is an amenable number.

209750260225 is a deficient number, since it is larger than the sum of its proper divisors (76725753560).

209750260225 is an frugal number, since it uses more digits than its factorization.

209750260225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 209750260225 in words is "two hundred nine billion, seven hundred fifty million, two hundred sixty thousand, two hundred twenty-five".