211512609025 has 27 divisors (see below), whose sum is σ = 266967572611. Its totient is φ = 166235421680.

The previous prime is 211512609013. The next prime is 211512609031. The reversal of 211512609025 is 520906215112.

The square root of 211512609025 is 459905.

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

It can be written as a sum of positive squares in only one way, i.e., 76144539249 + 135368069776 = 275943^2 + 367924^2 .

It is not a de Polignac number, because 211512609025 - 2⁷ = 211512608897 is a prime.

It is a super-2 number, since 2×211512609025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

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, 135671196 + ... + 135672754.

Almost surely, 2^211512609025 is an apocalyptic number.

211512609025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

211512609025 is the 459905-th square number.

211512609025 is the 229953-rd centered octagonal number.

It is an amenable number.

211512609025 is a deficient number, since it is larger than the sum of its proper divisors (55454963586).

211512609025 is an frugal number, since it uses more digits than its factorization.

211512609025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 211512609025 in words is "two hundred eleven billion, five hundred twelve million, six hundred nine thousand, twenty-five".