205761049841 has 4 divisors (see below), whose sum is σ = 216590578800. Its totient is φ = 194931520884.

The previous prime is 205761049787. The next prime is 205761049853. The reversal of 205761049841 is 148940167502.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 205761049841 - 2²² = 205756855537 is a prime.

It is a super-3 number, since 3×205761049841³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205761049891) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5414764451 + ... + 5414764488.

It is an arithmetic number, because the mean of its divisors is an integer number (54147644700).

Almost surely, 2^205761049841 is an apocalyptic number.

It is an amenable number.

205761049841 is a deficient number, since it is larger than the sum of its proper divisors (10829528959).

205761049841 is a wasteful number, since it uses less digits than its factorization.

205761049841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10829528958.

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 205761049841 in words is "two hundred five billion, seven hundred sixty-one million, forty-nine thousand, eight hundred forty-one".