205112785052952 has 160 divisors (see below), whose sum is σ = 658338230800800. Its totient is φ = 58446538039296.

The previous prime is 205112785052839. The next prime is 205112785052953. The reversal of 205112785052952 is 259250587211502.

205112785052952 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 12 + 7 + 8 + 50 + 529 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205112785052953) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58923177 + ... + 62307032.

It is an arithmetic number, because the mean of its divisors is an integer number (4114613942505).

Almost surely, 2^{205112785052952} is an apocalyptic number.

It is an amenable number.

205112785052952 is an abundant number, since it is smaller than the sum of its proper divisors (453225445747848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205112785052952 is a wasteful number, since it uses less digits than its factorization.

205112785052952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121230607 (or 121230594 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 54.

The spelling of 205112785052952 in words is "two hundred five trillion, one hundred twelve billion, seven hundred eighty-five million, fifty-two thousand, nine hundred fifty-two".