205921954700361 has 9 divisors (see below), whose sum is σ = 297442885639341. Its totient is φ = 137281274433612.

The previous prime is 205921954700353. The next prime is 205921954700381. The reversal of 205921954700361 is 163007459129502.

The square root of 205921954700361 is 14349981.

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

205921954700361 is a `hidden beast` number, since 2 + 0 + 5 + 9 + 21 + 95 + 470 + 0 + 3 + 61 = 666.

205921954700361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 205921954700361 - 2³ = 205921954700353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205921954700298 and 205921954700307.

It is not an unprimeable number, because it can be changed into a prime (205921954700381) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40658280 + ... + 45441606.

Almost surely, 2^{205921954700361} is an apocalyptic number.

205921954700361 is the 14349981-st square number.

205921954700361 is the 7174991-st centered octagonal number.

It is an amenable number.

205921954700361 is a deficient number, since it is larger than the sum of its proper divisors (91520930938980).

205921954700361 is an frugal number, since it uses more digits than its factorization.

205921954700361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9566660 (or 4783330 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 205921954700361 in words is "two hundred five trillion, nine hundred twenty-one billion, nine hundred fifty-four million, seven hundred thousand, three hundred sixty-one".