204834115201 has 8 divisors (see below), whose sum is σ = 206180865704. Its totient is φ = 203487897600.

The previous prime is 204834115163. The next prime is 204834115229. The reversal of 204834115201 is 102511438402.

It can be written as a sum of positive squares in 4 ways, for example, as 7874787600 + 196959327601 = 88740^2 + 443801^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(204834115201) divides (204834115201-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 204834115201 - 2⁹ = 204834114689 is a prime.

It is a deceptive number, since it divides R_204834115200.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204834115301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 653251 + ... + 914551.

It is an arithmetic number, because the mean of its divisors is an integer number (25772608213).

It is a Poulet number, since it divides 2^204834115200-1.

Almost surely, 2^204834115201 is an apocalyptic number.

204834115201 is the 261301-st octagonal number.

It is an amenable number.

204834115201 is a deficient number, since it is larger than the sum of its proper divisors (1346750503).

204834115201 is a wasteful number, since it uses less digits than its factorization.

204834115201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266451.

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 204834115201 in words is "two hundred four billion, eight hundred thirty-four million, one hundred fifteen thousand, two hundred one".