205151122641 has 8 divisors (see below), whose sum is σ = 279354720384. Its totient is φ = 133857470000.

The previous prime is 205151122639. The next prime is 205151122661. The reversal of 205151122641 is 146221151502.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205151122641 - 2¹ = 205151122639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205151122599 and 205151122608.

It is not an unprimeable number, because it can be changed into a prime (205151122661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 727486110 + ... + 727486391.

It is an arithmetic number, because the mean of its divisors is an integer number (34919340048).

Almost surely, 2^205151122641 is an apocalyptic number.

It is an amenable number.

205151122641 is a deficient number, since it is larger than the sum of its proper divisors (74203597743).

205151122641 is a wasteful number, since it uses less digits than its factorization.

205151122641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454972551.

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 205151122641 in words is "two hundred five billion, one hundred fifty-one million, one hundred twenty-two thousand, six hundred forty-one".