255145204161 has 27 divisors (see below), whose sum is σ = 371555126761. Its totient is φ = 168717827904.

The previous prime is 255145204141. The next prime is 255145204169. The reversal of 255145204161 is 161402541552.

The square root of 255145204161 is 505119.

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

255145204161 is a `hidden beast` number, since 2 + 551 + 4 + 5 + 2 + 0 + 41 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120863999025 + 134281205136 = 347655^2 + 366444^2 .

It is not a de Polignac number, because 255145204161 - 2¹³ = 255145195969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (255145204169) 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 26 ways as a sum of consecutive naturals, for example, 207603295 + ... + 207604523.

Almost surely, 2^255145204161 is an apocalyptic number.

255145204161 is the 505119-th square number.

255145204161 is the 252560-th centered octagonal number.

It is an amenable number.

255145204161 is a deficient number, since it is larger than the sum of its proper divisors (116409922600).

255145204161 is an frugal number, since it uses more digits than its factorization.

255145204161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Multiplying 255145204161 by its sum of digits (36), we get a square (9185227349796 = 3030714²).

The spelling of 255145204161 in words is "two hundred fifty-five billion, one hundred forty-five million, two hundred four thousand, one hundred sixty-one".