205507516506061 has 64 divisors (see below), whose sum is σ = 283093719883776. Its totient is φ = 144158121676800.

The previous prime is 205507516506053. The next prime is 205507516506077. The reversal of 205507516506061 is 160605615705502.

It is a happy number.

It is not a de Polignac number, because 205507516506061 - 2³ = 205507516506053 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205507516505996 and 205507516506014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205507516506361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1014896056 + ... + 1015098526.

It is an arithmetic number, because the mean of its divisors is an integer number (4423339373184).

Almost surely, 2^{205507516506061} is an apocalyptic number.

It is an amenable number.

205507516506061 is a deficient number, since it is larger than the sum of its proper divisors (77586203377715).

205507516506061 is a wasteful number, since it uses less digits than its factorization.

205507516506061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236242.

The product of its (nonzero) digits is 1890000, while the sum is 49.

The spelling of 205507516506061 in words is "two hundred five trillion, five hundred seven billion, five hundred sixteen million, five hundred six thousand, sixty-one".