205320453129 has 135 divisors (see below), whose sum is σ = 354206173629. Its totient is φ = 118428227280.

The previous prime is 205320453119. The next prime is 205320453161. The reversal of 205320453129 is 921354023502.

The square root of 205320453129 is 453123.

It is a perfect power (a square), and thus also a powerful number.

205320453129 is a `hidden beast` number, since 205 + 320 + 4 + 5 + 3 + 129 = 666.

It is not a de Polignac number, because 205320453129 - 2³¹ = 203172969481 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205320453093 and 205320453102.

It is not an unprimeable number, because it can be changed into a prime (205320453119) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1031760972 + ... + 1031761170.

Almost surely, 2^205320453129 is an apocalyptic number.

205320453129 is the 453123-rd square number.

205320453129 is the 226562-nd centered octagonal number.

It is an amenable number.

205320453129 is a deficient number, since it is larger than the sum of its proper divisors (148885720500).

205320453129 is an equidigital number, since it uses as much as digits as its factorization.

205320453129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Multiplying 205320453129 by its sum of digits (36), we get a square (7391536312644 = 2718738²).

The spelling of 205320453129 in words is "two hundred five billion, three hundred twenty million, four hundred fifty-three thousand, one hundred twenty-nine".