52280365201 has 9 divisors (see below), whose sum is σ = 52506557649. Its totient is φ = 52055145936.

The previous prime is 52280365169. The next prime is 52280365223. The reversal of 52280365201 is 10256308225.

The square root of 52280365201 is 228649.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20908870801 + 31371494400 = 144599^2 + 177120^2 .

It is not a de Polignac number, because 52280365201 - 2⁵ = 52280365169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52280365261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 85285771 + ... + 85286383.

It is an arithmetic number, because the mean of its divisors is an integer number (5834061961).

Almost surely, 2^52280365201 is an apocalyptic number.

52280365201 is the 228649-th square number.

52280365201 is the 114325-th centered octagonal number.

It is an amenable number.

52280365201 is a deficient number, since it is larger than the sum of its proper divisors (226192448).

52280365201 is an frugal number, since it uses more digits than its factorization.

52280365201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 52280365201 in words is "fifty-two billion, two hundred eighty million, three hundred sixty-five thousand, two hundred one".