1805263647201 has 63 divisors (see below), whose sum is σ = 3149003484291. Its totient is φ = 1031434118064.

The previous prime is 1805263647163. The next prime is 1805263647203. The reversal of 1805263647201 is 1027463625081.

The square root of 1805263647201 is 1343601.

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

1805263647201 is a `hidden beast` number, since 1 + 8 + 0 + 5 + 2 + 636 + 4 + 7 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 258672942801 + 1546590704400 = 508599^2 + 1243620^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 1805263647201 - 2¹¹ = 1805263645153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1805263647203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 253937035 + ... + 253944143.

Almost surely, 2^{1805263647201} is an apocalyptic number.

1805263647201 is the 1343601-st square number.

1805263647201 is the 671801-st centered octagonal number.

It is an amenable number.

1805263647201 is a deficient number, since it is larger than the sum of its proper divisors (1343739837090).

1805263647201 is an frugal number, since it uses more digits than its factorization.

1805263647201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14250 (or 7119 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1805263647201 in words is "one trillion, eight hundred five billion, two hundred sixty-three million, six hundred forty-seven thousand, two hundred one".