205088661047 has 8 divisors (see below), whose sum is σ = 207204060960. Its totient is φ = 202975650720.

The previous prime is 205088661031. The next prime is 205088661053. The reversal of 205088661047 is 740166880502.

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 205088661047 - 2⁴ = 205088661031 is a prime.

It is a super-2 number, since 2×205088661047² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205088660992 and 205088661010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205088661077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424604 + ... + 768417.

It is an arithmetic number, because the mean of its divisors is an integer number (25900507620).

Almost surely, 2^205088661047 is an apocalyptic number.

205088661047 is a deficient number, since it is larger than the sum of its proper divisors (2115399913).

205088661047 is a wasteful number, since it uses less digits than its factorization.

205088661047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194793.

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 205088661047 in words is "two hundred five billion, eighty-eight million, six hundred sixty-one thousand, forty-seven".