205626657761121 has 16 divisors (see below), whose sum is σ = 275878326374784. Its totient is φ = 136230116920704.

The previous prime is 205626657761093. The next prime is 205626657761137. The reversal of 205626657761121 is 121167756626502.

205626657761121 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-205626657761121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205626657768121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48343966 + ... + 52425111.

It is an arithmetic number, because the mean of its divisors is an integer number (17242395398424).

Almost surely, 2^{205626657761121} is an apocalyptic number.

It is an amenable number.

205626657761121 is a deficient number, since it is larger than the sum of its proper divisors (70251668613663).

205626657761121 is a wasteful number, since it uses less digits than its factorization.

205626657761121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100773320.

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 205626657761121 in words is "two hundred five trillion, six hundred twenty-six billion, six hundred fifty-seven million, seven hundred sixty-one thousand, one hundred twenty-one".