204255004151961 has 567 divisors, whose sum is σ = 395086163023071. Its totient is φ = 101649549189888.

The previous prime is 204255004151929. The next prime is 204255004151971. The reversal of 204255004151961 is 169151400552402.

The square root of 204255004151961 is 14291781.

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

204255004151961 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 5 + 500 + 4 + 1 + 51 + 96 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 159022062056025 + 45232942095936 = 12610395^2 + 6725544^2 .

It is not a de Polignac number, because 204255004151961 - 2⁵ = 204255004151929 is a prime.

It is a super-2 number, since 2×204255004151961² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204255004151971) by changing a digit.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 4750116375606 + ... + 4750116375648.

Almost surely, 2^{204255004151961} is an apocalyptic number.

204255004151961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

204255004151961 is the 14291781-st square number.

204255004151961 is the 7145891-st centered octagonal number.

It is an amenable number.

204255004151961 is a deficient number, since it is larger than the sum of its proper divisors (190831158871110).

204255004151961 is an frugal number, since it uses more digits than its factorization.

204255004151961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 204255004151961 in words is "two hundred four trillion, two hundred fifty-five billion, four million, one hundred fifty-one thousand, nine hundred sixty-one".