41564200129 has 3 divisors (see below), whose sum is σ = 41564404003. Its totient is φ = 41563996256.

The previous prime is 41564200127. The next prime is 41564200141. The reversal of 41564200129 is 92100246514.

The square root of 41564200129 is 203873.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 29276921025 + 12287279104 = 171105^2 + 110848^2 .

It is not a de Polignac number, because 41564200129 - 2¹ = 41564200127 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41564200094 and 41564200103.

It is not an unprimeable number, because it can be changed into a prime (41564200121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 101937 + ... + 305809.

Almost surely, 2^41564200129 is an apocalyptic number.

41564200129 is the 203873-rd square number.

41564200129 is the 101937-th centered octagonal number.

It is an amenable number.

41564200129 is a deficient number, since it is larger than the sum of its proper divisors (203874).

41564200129 is an frugal number, since it uses more digits than its factorization.

41564200129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407746 (or 203873 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 41564200129 in words is "forty-one billion, five hundred sixty-four million, two hundred thousand, one hundred twenty-nine".