365240131201 has 9 divisors (see below), whose sum is σ = 401469600259. Its totient is φ = 332030439400.

The previous prime is 365240131171. The next prime is 365240131253. The reversal of 365240131201 is 102131042563.

The square root of 365240131201 is 604351.

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

It can be written as a sum of positive squares in only one way, i.e., 301786521201 + 63453610000 = 549351^2 + 251900^2 .

It is not a de Polignac number, because 365240131201 - 2⁷ = 365240131073 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 365240131201.

It is not an unprimeable number, because it can be changed into a prime (365240131901) 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, 6620391 + ... + 6675331.

Almost surely, 2^365240131201 is an apocalyptic number.

365240131201 is the 604351-st square number.

365240131201 is the 302176-th centered octagonal number.

It is an amenable number.

365240131201 is a deficient number, since it is larger than the sum of its proper divisors (36229469058).

365240131201 is an frugal number, since it uses more digits than its factorization.

365240131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109904 (or 54952 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 365240131201 its reverse (102131042563), we get a palindrome (467371173764).

The spelling of 365240131201 in words is "three hundred sixty-five billion, two hundred forty million, one hundred thirty-one thousand, two hundred one".