212507170225 has 27 divisors (see below), whose sum is σ = 306554025771. Its totient is φ = 145708138800.

The previous prime is 212507170171. The next prime is 212507170247. The reversal of 212507170225 is 522071705212.

The square root of 212507170225 is 460985.

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

212507170225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 76502581281 + 136004588944 = 276591^2 + 368788^2 .

It is not a de Polignac number, because 212507170225 - 2²⁵ = 212473615793 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16127890 + ... + 16141060.

Almost surely, 2^212507170225 is an apocalyptic number.

212507170225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

212507170225 is the 460985-th square number.

212507170225 is the 230493-rd centered octagonal number.

It is an amenable number.

212507170225 is a deficient number, since it is larger than the sum of its proper divisors (94046855546).

212507170225 is an frugal number, since it uses more digits than its factorization.

212507170225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26366 (or 13183 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

Adding to 212507170225 its reverse (522071705212), we get a palindrome (734578875437).

The spelling of 212507170225 in words is "two hundred twelve billion, five hundred seven million, one hundred seventy thousand, two hundred twenty-five".