204952408513281 has 405 divisors, whose sum is σ = 376970331274719. Its totient is φ = 107199398592000.

The previous prime is 204952408513273. The next prime is 204952408513283. The reversal of 204952408513281 is 182315804259402.

The square root of 204952408513281 is 14316159.

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

204952408513281 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 5 + 2 + 40 + 8 + 513 + 2 + 81 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 187096848372225 + 17855560141056 = 13678335^2 + 4225584^2 .

It is not a de Polignac number, because 204952408513281 - 2³ = 204952408513273 is a prime.

It is a super-2 number, since 2×204952408513281² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204952408513283) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 1357300718556 + ... + 1357300718706.

Almost surely, 2^{204952408513281} is an apocalyptic number.

204952408513281 is the 14316159-th square number.

204952408513281 is the 7158080-th centered octagonal number.

It is an amenable number.

204952408513281 is a deficient number, since it is larger than the sum of its proper divisors (172017922761438).

204952408513281 is an equidigital number, since it uses as much as digits as its factorization.

204952408513281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 204952408513281 in words is "two hundred four trillion, nine hundred fifty-two billion, four hundred eight million, five hundred thirteen thousand, two hundred eighty-one".