211205504041 has 45 divisors (see below), whose sum is σ = 251622678359. Its totient is φ = 177269402688.

The previous prime is 211205504033. The next prime is 211205504071. The reversal of 211205504041 is 140405502112.

The square root of 211205504041 is 459571.

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., 3721610025 + 207483894016 = 61005^2 + 455504^2 .

It is not a de Polignac number, because 211205504041 - 2³ = 211205504033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211205503997 and 211205504015.

It is not an unprimeable number, because it can be changed into a prime (211205504071) by changing a digit.

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, 1869075201 + ... + 1869075313.

Almost surely, 2^211205504041 is an apocalyptic number.

211205504041 is the 459571-st square number.

211205504041 is the 229786-th centered octagonal number.

It is an amenable number.

211205504041 is a deficient number, since it is larger than the sum of its proper divisors (40417174318).

211205504041 is an frugal number, since it uses more digits than its factorization.

211205504041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Multiplying 211205504041 by its sum of digits (25), we get a square (5280137601025 = 2297855²).

Multiplying 211205504041 by its product of nonzero digits (1600), we get a square (337928806465600 = 18382840²).

The spelling of 211205504041 in words is "two hundred eleven billion, two hundred five million, five hundred four thousand, forty-one".