211725227709961 has 27 divisors (see below), whose sum is σ = 246767821057863. Its totient is φ = 181129285950480.

The previous prime is 211725227709959. The next prime is 211725227710013. The reversal of 211725227709961 is 169907722527112.

The square root of 211725227709961 is 14550781.

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., 690220332025 + 211035007377936 = 830795^2 + 14527044^2 .

It is not a de Polignac number, because 211725227709961 - 2¹ = 211725227709959 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211725227709961.

It is not an unprimeable number, because it can be changed into a prime (211725227709461) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62437399576 + ... + 62437402966.

It is an arithmetic number, because the mean of its divisors is an integer number (9139548928069).

Almost surely, 2^{211725227709961} is an apocalyptic number.

211725227709961 is the 14550781-st square number.

211725227709961 is the 7275391-st centered octagonal number.

It is an amenable number.

211725227709961 is a deficient number, since it is larger than the sum of its proper divisors (35042593347902).

211725227709961 is an frugal number, since it uses more digits than its factorization.

211725227709961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8022 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 61.

The spelling of 211725227709961 in words is "two hundred eleven trillion, seven hundred twenty-five billion, two hundred twenty-seven million, seven hundred nine thousand, nine hundred sixty-one".