205120314521045 has 64 divisors (see below), whose sum is σ = 310599381012480. Its totient is φ = 126318214886400.

The previous prime is 205120314521027. The next prime is 205120314521047. The reversal of 205120314521045 is 540125413021502.

It is not a de Polignac number, because 205120314521045 - 2⁶ = 205120314520981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a junction number, because it is equal to n+sod(n) for n = 205120314520996 and 205120314521014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205120314521047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 496981565 + ... + 497394125.

It is an arithmetic number, because the mean of its divisors is an integer number (4853115328320).

Almost surely, 2^{205120314521045} is an apocalyptic number.

It is an amenable number.

205120314521045 is a deficient number, since it is larger than the sum of its proper divisors (105479066491435).

205120314521045 is a wasteful number, since it uses less digits than its factorization.

205120314521045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428226.

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 205120314521045 its reverse (540125413021502), we get a palindrome (745245727542547).

The spelling of 205120314521045 in words is "two hundred five trillion, one hundred twenty billion, three hundred fourteen million, five hundred twenty-one thousand, forty-five".