205413551325000 has 144 divisors (see below), whose sum is σ = 695365954707060. Its totient is φ = 54776946960000.

The previous prime is 205413551324957. The next prime is 205413551325001. The reversal of 205413551325000 is 523155314502.

205413551325000 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 13 + 5 + 5 + 132 + 500 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18620785764 + 205394930539236 = 136458^2 + 14331606^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (205413551325001) 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 35 ways as a sum of consecutive naturals, for example, 456249559 + ... + 456699558.

Almost surely, 2^{205413551325000} is an apocalyptic number.

205413551325000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205413551325000 is an abundant number, since it is smaller than the sum of its proper divisors (489952403382060).

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

205413551325000 is an equidigital number, since it uses as much as digits as its factorization.

205413551325000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912949154 (or 912949127 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 205413551325000 in words is "two hundred five trillion, four hundred thirteen billion, five hundred fifty-one million, three hundred twenty-five thousand".