211466621025 has 135 divisors (see below), whose sum is σ = 431020444393. Its totient is φ = 102418905600.

The previous prime is 211466620991. The next prime is 211466621053. The reversal of 211466621025 is 520126664112.

The square root of 211466621025 is 459855.

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 106280564049 + 105186056976 = 326007^2 + 324324^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 211466621025 - 2⁹ = 211466620513 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 227627761 + ... + 227628689.

Almost surely, 2^211466621025 is an apocalyptic number.

211466621025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

211466621025 is the 459855-th square number.

211466621025 is the 229928-th centered octagonal number.

It is an amenable number.

211466621025 is an abundant number, since it is smaller than the sum of its proper divisors (219553823368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211466621025 is an frugal number, since it uses more digits than its factorization.

211466621025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 211466621025 by its sum of digits (36), we get a square (7612798356900 = 2759130²).

The spelling of 211466621025 in words is "two hundred eleven billion, four hundred sixty-six million, six hundred twenty-one thousand, twenty-five".